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199644107364 = 2232132131200183
BaseRepresentation
bin1011100111101110110…
…1110101001001100100
3201002022112121110120200
42321323231311021210
511232332342413424
6231414254030500
720265236625102
oct2717355651144
9632275543520
10199644107364
1177739991859
12328384a8430
1315a98681b10
14993cb1cc72
1552d70c48c9
hex2e7bb75264

199644107364 has 72 divisors (see below), whose sum is σ = 543733374912. Its totient is φ = 61399823040.

The previous prime is 199644107339. The next prime is 199644107387. The reversal of 199644107364 is 463701446991.

199644107364 is a `hidden beast` number, since 19 + 96 + 4 + 410 + 73 + 64 = 666.

199644107364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1996441073643 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199644107364.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897217 + ... + 1097399.

Almost surely, 2199644107364 is an apocalyptic number.

It is an amenable number.

199644107364 is an abundant number, since it is smaller than the sum of its proper divisors (344089267548).

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

199644107364 is a wasteful number, since it uses less digits than its factorization.

199644107364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202337 (or 202332 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 199644107364 in words is "one hundred ninety-nine billion, six hundred forty-four million, one hundred seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2131 4262 6393 8524 12786 19179 25572 27703 38358 55406 76716 83109 110812 166218 200183 249327 332436 400366 498654 600549 800732 997308 1201098 1801647 2402196 2602379 3603294 5204758 7206588 7807137 10409516 15614274 23421411 31228548 46842822 93685644 426589973 853179946 1279769919 1706359892 2559539838 3839309757 5119079676 5545669649 7678619514 11091339298 15357239028 16637008947 22182678596 33274017894 49911026841 66548035788 99822053682 199644107364