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2055707188704 = 253213737521467
BaseRepresentation
bin11101111010100001101…
…100100101110111100000
321021112010202202020200100
4131322201230211313200
5232140042020014304
64212213455222400
7301343224536651
oct35724154456740
97245122666610
102055707188704
11722903130214
122924b0217a00
1311bb1081b120
14716d516b528
153871891b439
hex1dea1b25de0

2055707188704 has 144 divisors (see below), whose sum is σ = 6381845254512. Its totient is φ = 623860475904.

The previous prime is 2055707188699. The next prime is 2055707188727. The reversal of 2055707188704 is 4078817075502.

2055707188704 is a `hidden beast` number, since 2 + 0 + 557 + 0 + 7 + 1 + 8 + 87 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 3487422 + ... + 4034045.

It is an arithmetic number, because the mean of its divisors is an integer number (44318369823).

Almost surely, 22055707188704 is an apocalyptic number.

2055707188704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2055707188704 is an abundant number, since it is smaller than the sum of its proper divisors (4326138065808).

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

2055707188704 is a wasteful number, since it uses less digits than its factorization.

2055707188704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7521569 (or 7521558 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 2055707188704 in words is "two trillion, fifty-five billion, seven hundred seven million, one hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 73 78 96 104 117 144 146 156 208 219 234 288 292 312 416 438 468 584 624 657 876 936 949 1168 1248 1314 1752 1872 1898 2336 2628 2847 3504 3744 3796 5256 5694 7008 7592 8541 10512 11388 15184 17082 21024 22776 30368 34164 45552 68328 91104 136656 273312 7521467 15042934 22564401 30085868 45128802 60171736 67693203 90257604 97779071 120343472 135386406 180515208 195558142 240686944 270772812 293337213 361030416 391116284 541545624 549067091 586674426 722060832 782232568 880011639 1083091248 1098134182 1173348852 1564465136 1647201273 1760023278 2166182496 2196268364 2346697704 3128930272 3294402546 3520046556 4392536728 4693395408 4941603819 6588805092 7040093112 7137872183 8785073456 9386790816 9883207638 13177610184 14080186224 14275744366 17570146912 19766415276 21413616549 26355220368 28160372448 28551488732 39532830552 42827233098 52710440736 57102977464 64240849647 79065661104 85654466196 114205954928 128481699294 158131322208 171308932392 228411909856 256963398588 342617864784 513926797176 685235729568 1027853594352 2055707188704