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533412023364 = 2232113758696203
BaseRepresentation
bin1111100001100011101…
…01011000110001000100
31212222211101211100202100
413300301311120301010
532214411434221424
61045013542512100
753352306250233
oct7606165306104
91788741740670
10533412023364
111962451aa150
1287466735630
133b3ba3884bc
141bb62888b1a
15dd1e08bdc9
hex7c31d58c44

533412023364 has 144 divisors (see below), whose sum is σ = 1511179750080. Its totient is φ = 157219211520.

The previous prime is 533412023359. The next prime is 533412023393. The reversal of 533412023364 is 463320214335.

533412023364 is a `hidden beast` number, since 5 + 3 + 3 + 412 + 0 + 233 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85989487 + ... + 85995689.

It is an arithmetic number, because the mean of its divisors is an integer number (10494303820).

Almost surely, 2533412023364 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 533412023364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755589875040).

533412023364 is an abundant number, since it is smaller than the sum of its proper divisors (977767726716).

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

533412023364 is a wasteful number, since it uses less digits than its factorization.

533412023364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12130 (or 12125 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 533412023364 its reverse (463320214335), we get a palindrome (996732237699).

The spelling of 533412023364 in words is "five hundred thirty-three billion, four hundred twelve million, twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 5869 6203 7326 11738 12406 14652 17607 18609 23476 24812 35214 37218 52821 55827 64559 68233 70428 74436 105642 111654 129118 136466 193677 204699 211284 217153 223308 229511 258236 272932 387354 409398 434306 459022 581031 614097 651459 688533 774708 818796 868612 918044 1162062 1228194 1302918 1377066 1954377 2065599 2324124 2388683 2456388 2524621 2605836 2754132 3908754 4131198 4777366 5049242 7166049 7573863 7817508 8262396 9554732 10098484 14332098 15147726 21498147 22721589 28664196 30295452 36405407 42996294 45443178 72810814 85992588 90886356 109216221 145621628 218432442 327648663 400459477 436864884 655297326 800918954 1201378431 1310594652 1347000059 1601837908 2402756862 2694000118 3604135293 4041000177 4805513724 5388000236 7208270586 8082000354 12123000531 14416541172 14817000649 16164000708 24246001062 29634001298 44451001947 48492002124 59268002596 88902003894 133353005841 177804007788 266706011682 533412023364