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1107256732764 = 2237136715133901
BaseRepresentation
bin10000000111001101101…
…001001110110001011100
310220212000121212222122220
4100013031221032301130
5121120130210422024
62204400002305340
7142665565636560
oct20071551166134
93825017788586
101107256732764
113976486177a6
1215a716058250
138054c3402a0
143b83d1736a0
151dc07acde79
hex101cda4ec5c

1107256732764 has 96 divisors (see below), whose sum is σ = 3227274333696. Its totient is φ = 287665171200.

The previous prime is 1107256732759. The next prime is 1107256732789. The reversal of 1107256732764 is 4672376527011.

It is a super-2 number, since 2×11072567327642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7493787 + ... + 7640114.

It is an arithmetic number, because the mean of its divisors is an integer number (33617440976).

Almost surely, 21107256732764 is an apocalyptic number.

1107256732764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1107256732764 is an abundant number, since it is smaller than the sum of its proper divisors (2120017600932).

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

1107256732764 is a wasteful number, since it uses less digits than its factorization.

1107256732764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15133995 (or 15133993 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 1107256732764 in words is "one trillion, one hundred seven billion, two hundred fifty-six million, seven hundred thirty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 67 78 84 91 134 156 182 201 268 273 364 402 469 546 804 871 938 1092 1407 1742 1876 2613 2814 3484 5226 5628 6097 10452 12194 18291 24388 36582 73164 15133901 30267802 45401703 60535604 90803406 105937307 181606812 196740713 211874614 317811921 393481426 423749228 590222139 635623842 786962852 1013971367 1180444278 1271247684 1377184991 2027942734 2360888556 2754369982 3041914101 4055885468 4131554973 5508739964 6083828202 7097799569 8263109946 12167656404 13181627771 14195599138 16526219892 21293398707 26363255542 28391198276 39544883313 42586797414 52726511084 79089766626 85173594828 92271394397 158179533252 184542788794 276814183191 369085577588 553628366382 1107256732764