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268533776432 = 241723832771867
BaseRepresentation
bin1111101000010111011…
…1000100000000110000
3221200010120200020202102
43322011313010000300
513344424121321212
6323210202435532
725254342303245
oct3720567040060
9850116606672
10268533776432
11a3980352859
1244063502ba8
131c426a6c3cc
14cdd60a75cc
156eb9ead5c2
hex3e85dc4030

268533776432 has 160 divisors (see below), whose sum is σ = 584179610112. Its totient is φ = 118923374592.

The previous prime is 268533776419. The next prime is 268533776443. The reversal of 268533776432 is 234677335862.

It is a happy number.

It is a super-2 number, since 2×2685337764322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143830763 + ... + 143832629.

Almost surely, 2268533776432 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 268533776432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292089805056).

268533776432 is an abundant number, since it is smaller than the sum of its proper divisors (315645833680).

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

268533776432 is a wasteful number, since it uses less digits than its factorization.

268533776432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2269 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 56.

The spelling of 268533776432 in words is "two hundred sixty-eight billion, five hundred thirty-three million, seven hundred seventy-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 23 34 46 68 83 92 136 166 184 272 277 332 368 391 554 664 782 1108 1328 1411 1564 1867 1909 2216 2822 3128 3734 3818 4432 4709 5644 6256 6371 7468 7636 9418 11288 12742 14936 15272 18836 22576 22991 25484 29872 30544 31739 32453 37672 42941 45982 50968 63478 64906 75344 85882 91964 101936 108307 126956 129812 154961 171764 183928 216614 253912 259624 309922 343528 367856 390847 433228 507824 517159 519248 528793 619844 687056 729997 781694 866456 1034318 1057586 1239688 1459994 1563388 1732912 2068636 2115172 2479376 2634337 2919988 3126776 3564103 4137272 4230344 5268674 5839976 6253552 7128206 8274544 8460688 8791703 8989481 10537348 11679952 11894657 14256412 17583406 17978962 21074696 23789314 28512824 35166812 35957924 42149392 42924197 47578628 57025648 60589751 70333624 71915848 85848394 95157256 121179502 140667248 143831696 171696788 190314512 202209169 242359004 343393576 404418338 484718008 686787152 729711349 808836676 969436016 987256531 1459422698 1617673352 1974513062 2918845396 3235346704 3949026124 5837690792 7898052248 11675381584 15796104496 16783361027 33566722054 67133444108 134266888216 268533776432