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33399482631216 = 24313891075620583
BaseRepresentation
bin1111001100000011011000…
…10011000100010000110000
311101020221220101000100101020
413212001230103010100300
513334204120023144331
6155011302133535440
710015014213110442
oct746015423042060
9141227811010336
1033399482631216
11a70770624a319
1238b50631a4580
1315837333537c0
1483678784c492
153cdbe57bbc96
hex1e606c4c4430

33399482631216 has 160 divisors (see below), whose sum is σ = 94841284769280. Its totient is φ = 10066327468032.

The previous prime is 33399482631209. The next prime is 33399482631223. The reversal of 33399482631216 is 61213628499333.

It is an interprime number because it is at equal distance from previous prime (33399482631209) and next prime (33399482631223).

It is a super-2 number, since 2×333994826312162 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33399482631216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3132061 + ... + 8752643.

It is an arithmetic number, because the mean of its divisors is an integer number (592758029808).

Almost surely, 233399482631216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33399482631216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47420642384640).

33399482631216 is an abundant number, since it is smaller than the sum of its proper divisors (61441802138064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33399482631216 is a wasteful number, since it uses less digits than its factorization.

33399482631216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620803 (or 5620797 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 60.

The spelling of 33399482631216 in words is "thirty-three trillion, three hundred ninety-nine billion, four hundred eighty-two million, six hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 107 156 178 208 214 267 312 321 356 428 534 624 642 712 856 1068 1157 1284 1391 1424 1712 2136 2314 2568 2782 3471 4173 4272 4628 5136 5564 6942 8346 9256 9523 11128 13884 16692 18512 19046 22256 27768 28569 33384 38092 55536 57138 66768 76184 114276 123799 152368 228552 247598 371397 457104 495196 742794 990392 1485588 1980784 2971176 5620583 5942352 11241166 16861749 22482332 33723498 44964664 67446996 73067579 89929328 134893992 146135158 219202737 269787984 292270316 438405474 500231887 584540632 601402381 876810948 1000463774 1169081264 1202804762 1500695661 1753621896 1804207143 2000927548 2405609524 3001391322 3507243792 3608414286 4001855096 4811219048 6002782644 6503014531 7216828572 7818230953 8003710192 9622438096 12005565288 13006029062 14433657144 15636461906 19509043593 23454692859 24011130576 26012058124 28867314288 31272923812 39018087186 46909385718 52024116248 53524811909 62545847624 78036174372 93818771436 104048232496 107049623818 125091695248 156072348744 160574435727 187637542872 214099247636 312144697488 321148871454 375275085744 428198495272 642297742908 695822554817 856396990544 1284595485816 1391645109634 2087467664451 2569190971632 2783290219268 4174935328902 5566580438536 8349870657804 11133160877072 16699741315608 33399482631216