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220157893566004 = 221729611999196963
BaseRepresentation
bin110010000011101110000001…
…000010100101111000110100
31001212111220000010200210000011
4302003232001002211320310
5212324031331223103004
62100123050130430004
764241611560450562
oct6203560102457064
91055456003623004
10220157893566004
11641704904604a9
12208380a9132304
1395aca532aac84
143c519adb12a32
151a6bc2a9c9004
hexc83b810a5e34

220157893566004 has 96 divisors (see below), whose sum is σ = 431080096608000. Its totient is φ = 97896878069760.

The previous prime is 220157893565999. The next prime is 220157893566029. The reversal of 220157893566004 is 400665398751022.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 220157893566004.

It is a congruent number.

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, 19339627 + ... + 28536589.

It is an arithmetic number, because the mean of its divisors is an integer number (4490417673000).

It is a 1-persistent number, because it is pandigital, but 2⋅220157893566004 = 440315787132008 is not.

Almost surely, 2220157893566004 is an apocalyptic number.

It is an amenable number.

220157893566004 is a deficient number, since it is larger than the sum of its proper divisors (210922203041996).

220157893566004 is a wasteful number, since it uses less digits than its factorization.

220157893566004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9197273 (or 9197271 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 220157893566004 in words is "two hundred twenty trillion, one hundred fifty-seven billion, eight hundred ninety-three million, five hundred sixty-six thousand, four".

Divisors: 1 2 4 17 29 34 58 61 68 116 122 199 244 398 493 796 986 1037 1769 1972 2074 3383 3538 4148 5771 6766 7076 11542 12139 13532 23084 24278 30073 48556 60146 98107 120292 196214 206363 352031 392428 412726 704062 825452 1408124 5984527 9196963 11969054 18393926 23938108 36787852 156348371 266711927 312696742 533423854 561014743 625393484 1066847708 1122029486 1830195637 2244058972 3660391274 4534102759 7320782548 9068205518 9537250631 16269427547 18136411036 19074501262 31113325829 32538855094 38149002524 53075673473 62226651658 65077710188 106151346946 111641933857 124453303316 212302693892 223283867714 276580268299 446567735428 553160536598 902286449041 1106321073196 1804572898082 1897912875569 3237616081853 3609145796164 3795825751138 6475232163706 7591651502276 12950464327412 55039473391501 110078946783002 220157893566004