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20116170406044 = 22331783132006263
BaseRepresentation
bin1001001001011101010010…
…01100001111100010011100
32122020002100111120120212000
410210232221030033202130
510114040404110443134
6110441124025042300
74144226312130216
oct444565114174234
978202314516760
1020116170406044
116456246848579
12230a794926390
13b2bc3cc7177b
144d78b0b2b5b6
1524d403a26e99
hex124ba930f89c

20116170406044 has 96 divisors (see below), whose sum is σ = 55886171927040. Its totient is φ = 6234919766784.

The previous prime is 20116170405977. The next prime is 20116170406063. The reversal of 20116170406044 is 44060407161102.

It is a happy number.

20116170406044 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 6 + 1 + 7 + 0 + 40 + 604 + 4 = 666.

It is a super-4 number, since 4×201161704060444 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 65850744 + ... + 66155519.

It is an arithmetic number, because the mean of its divisors is an integer number (582147624240).

Almost surely, 220116170406044 is an apocalyptic number.

It is an amenable number.

20116170406044 is an abundant number, since it is smaller than the sum of its proper divisors (35770001520996).

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

20116170406044 is a wasteful number, since it uses less digits than its factorization.

20116170406044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132006376 (or 132006368 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 20116170406044 its reverse (44060407161102), we get a palindrome (64176577567146).

The spelling of 20116170406044 in words is "twenty trillion, one hundred sixteen billion, one hundred seventy million, four hundred six thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 83 102 108 153 166 204 249 306 332 459 498 612 747 918 996 1411 1494 1836 2241 2822 2988 4233 4482 5644 8466 8964 12699 16932 25398 38097 50796 76194 152388 132006263 264012526 396018789 528025052 792037578 1188056367 1584075156 2244106471 2376112734 3564169101 4488212942 4752225468 6732319413 7128338202 8976425884 10956519829 13464638826 14256676404 20196958239 21913039658 26929277652 32869559487 40393916478 43826079316 60590874717 65739118974 80787832956 98608678461 121181749434 131478237948 186260837093 197217356922 242363498868 295826035383 372521674186 394434713844 558782511279 591652070766 745043348372 1117565022558 1183304141532 1676347533837 2235130045116 3352695067674 5029042601511 6705390135348 10058085203022 20116170406044