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499012680432 = 24372979648257
BaseRepresentation
bin1110100001011110111…
…10010011101011110000
31202201001001101200102010
413100233132103223300
531133434221233212
61021124313322520
751023666540550
oct7205736235360
91681031350363
10499012680432
111826a2715712
1280866406440
1338097730506
141a21c057160
15cea910903c
hex742f793af0

499012680432 has 160 divisors (see below), whose sum is σ = 1543372646400. Its totient is φ = 135915945984.

The previous prime is 499012680421. The next prime is 499012680433. The reversal of 499012680432 is 234086210994.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499012680433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445648 + ... + 1093904.

It is an arithmetic number, because the mean of its divisors is an integer number (9646079040).

Almost surely, 2499012680432 is an apocalyptic number.

499012680432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499012680432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771686323200).

499012680432 is an abundant number, since it is smaller than the sum of its proper divisors (1044359965968).

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

499012680432 is a wasteful number, since it uses less digits than its factorization.

499012680432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648383 (or 648377 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 499012680432 in words is "four hundred ninety-nine billion, twelve million, six hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 79 84 87 112 116 158 168 174 203 232 237 316 336 348 406 464 474 553 609 632 696 812 948 1106 1218 1264 1392 1624 1659 1896 2212 2291 2436 3248 3318 3792 4424 4582 4872 6636 6873 8848 9164 9744 13272 13746 16037 18328 26544 27492 32074 36656 48111 54984 64148 96222 109968 128296 192444 256592 384888 648257 769776 1296514 1944771 2593028 3889542 4537799 5186056 7779084 9075598 10372112 13613397 15558168 18151196 18799453 27226794 31116336 36302392 37598906 51212303 54453588 56398359 72604784 75197812 102424606 108907176 112796718 131596171 150395624 153636909 204849212 217814352 225593436 263192342 300791248 307273818 358486121 394788513 409698424 451186872 526384684 614547636 716972242 789577026 819396848 902373744 1052769368 1075458363 1229095272 1433944484 1485156787 1579154052 2105538736 2150916726 2458190544 2867888968 2970313574 3158308104 4301833452 4455470361 5735777936 5940627148 6316616208 8603666904 8910940722 10396097509 11881254296 17207333808 17821881444 20792195018 23762508592 31188292527 35643762888 41584390036 62376585054 71287525776 83168780072 124753170108 166337560144 249506340216 499012680432