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268016934204 = 2232172109236339
BaseRepresentation
bin1111100110011100001…
…1011101110100111100
3221121210120010221111200
43321213003131310330
513342344313343304
6323043021015500
725235465231505
oct3714703356474
9847716127450
10268016934204
11a3735632618
1243b3a3b4590
131c37396b2c6
14cd875a9bac
156e89919e39
hex3e670ddd3c

268016934204 has 108 divisors (see below), whose sum is σ = 726289363800. Its totient is φ = 83311981056.

The previous prime is 268016934197. The next prime is 268016934233. The reversal of 268016934204 is 402439610862.

268016934204 is a `hidden beast` number, since 2 + 68 + 0 + 169 + 3 + 420 + 4 = 666.

It is a super-2 number, since 2×2680169342042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 268016934204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1015867 + ... + 1252205.

Almost surely, 2268016934204 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 268016934204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363144681900).

268016934204 is an abundant number, since it is smaller than the sum of its proper divisors (458272429596).

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

268016934204 is a wasteful number, since it uses less digits than its factorization.

268016934204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236492 (or 236470 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 268016934204 in words is "two hundred sixty-eight billion, sixteen million, nine hundred thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 109 153 204 218 289 306 327 436 578 612 654 867 981 1156 1308 1734 1853 1962 2601 3468 3706 3924 5202 5559 7412 10404 11118 16677 22236 31501 33354 63002 66708 94503 126004 189006 236339 283509 378012 472678 567018 709017 945356 1134036 1418034 2127051 2836068 4017763 4254102 8035526 8508204 12053289 16071052 24106578 25760951 36159867 48213156 51521902 68301971 72319734 77282853 103043804 136603942 144639468 154565706 204905913 231848559 273207884 309131412 409811826 437936167 463697118 614717739 819623652 875872334 927394236 1229435478 1313808501 1751744668 2458870956 2627617002 3941425503 5255234004 7444914839 7882851006 14889829678 15765702012 22334744517 29779659356 44669489034 67004233551 89338978068 134008467102 268016934204