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268107955051728 = 243112371247617243
BaseRepresentation
bin111100111101011110111111…
…011011000001110011010000
31022011021212111100212211010010
4330331132333123001303100
5240120140042443123403
62350115032203234520
7110321106030263601
oct7475367733016320
91264255440784103
10268107955051728
1178477a44080900
12260a114b818a40
13b67a61937714c
144a2c6cc383da8
1520ee1833ae603
hexf3d7bf6c1cd0

268107955051728 has 120 divisors (see below), whose sum is σ = 781876736345824. Its totient is φ = 79049028453120.

The previous prime is 268107955051693. The next prime is 268107955051753. The reversal of 268107955051728 is 827150559701862.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623593726 + ... + 624023517.

Almost surely, 2268107955051728 is an apocalyptic number.

It is an amenable number.

268107955051728 is an abundant number, since it is smaller than the sum of its proper divisors (513768781294096).

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

268107955051728 is a wasteful number, since it uses less digits than its factorization.

268107955051728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247617313 (or 1247617296 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 66.

The spelling of 268107955051728 in words is "two hundred sixty-eight trillion, one hundred seven billion, nine hundred fifty-five million, fifty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 121 132 148 176 222 242 264 296 363 407 444 484 528 592 726 814 888 968 1221 1452 1628 1776 1936 2442 2904 3256 4477 4884 5808 6512 8954 9768 13431 17908 19536 26862 35816 53724 71632 107448 214896 1247617243 2495234486 3742851729 4990468972 7485703458 9980937944 13723789673 14971406916 19961875888 27447579346 29942813832 41171369019 46161837991 54895158692 59885627664 82342738038 92323675982 109790317384 138485513973 150961686403 164685476076 184647351964 219580634768 276971027946 301923372806 329370952152 369294703928 452885059209 507780217901 553942055892 603846745612 658741904304 738589407856 905770118418 1015560435802 1107884111784 1207693491224 1523340653703 1811540236836 2031120871604 2215768223568 2415386982448 3046681307406 3623080473672 4062241743208 5585582396911 6093362614812 7246160947344 8124483486416 11171164793822 12186725229624 16756747190733 22342329587644 24373450459248 33513494381466 44684659175288 67026988762932 89369318350576 134053977525864 268107955051728