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268053887504 = 241323197284423
BaseRepresentation
bin1111100110100101000…
…0011011101000010000
3221121220010200100220102
43321221100123220100
513342433243400004
6323050421031532
725236424310204
oct3715120335020
9847803610812
10268053887504
11a3754482137
1243b4a8555a8
131c37b509170
14cd8c468b04
156e8ccb911e
hex3e6941ba10

268053887504 has 80 divisors (see below), whose sum is σ = 586586956032. Its totient is φ = 117737055744.

The previous prime is 268053887489. The next prime is 268053887509. The reversal of 268053887504 is 405788350862.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 268053887504.

It is not an unprimeable number, because it can be changed into a prime (268053887509) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 800237 + ... + 1084659.

Almost surely, 2268053887504 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 268053887504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293293478016).

268053887504 is an abundant number, since it is smaller than the sum of its proper divisors (318533068528).

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

268053887504 is a wasteful number, since it uses less digits than its factorization.

268053887504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284664 (or 284658 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 56.

The spelling of 268053887504 in words is "two hundred sixty-eight billion, fifty-three million, eight hundred eighty-seven thousand, five hundred four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 197 208 299 368 394 598 788 1196 1576 2392 2561 3152 4531 4784 5122 9062 10244 18124 20488 36248 40976 58903 72496 117806 235612 284423 471224 568846 942448 1137692 2275384 3697499 4550768 6541729 7394998 13083458 14789996 26166916 29579992 52333832 56031331 59159984 85042477 104667664 112062662 170084954 224125324 340169908 448250648 680339816 728407303 896501296 1288720613 1360679632 1456814606 2577441226 2913629212 5154882452 5827258424 10309764904 11654516848 16753367969 20619529808 33506735938 67013471876 134026943752 268053887504