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109935084864 = 2631152052597
BaseRepresentation
bin110011001100010100…
…1000100010101000000
3101111202120020221112210
41212120221010111000
53300121340203424
6122300430222120
710641202542333
oct1463051042500
9344676227483
10109935084864
1142694542440
1219381054940
13a49cc1b997
14546c72661a
152cd6573729
hex1998a44540

109935084864 has 56 divisors (see below), whose sum is σ = 317312637408. Its totient is φ = 33313661440.

The previous prime is 109935084859. The next prime is 109935084869. The reversal of 109935084864 is 468480539901.

It is an interprime number because it is at equal distance from previous prime (109935084859) and next prime (109935084869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109935084869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26024187 + ... + 26028410.

Almost surely, 2109935084864 is an apocalyptic number.

It is an amenable number.

109935084864 is an abundant number, since it is smaller than the sum of its proper divisors (207377552544).

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

109935084864 is a wasteful number, since it uses less digits than its factorization.

109935084864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52052623 (or 52052613 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 109935084864 in words is "one hundred nine billion, nine hundred thirty-five million, eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 52052597 104105194 156157791 208210388 312315582 416420776 572578567 624631164 832841552 1145157134 1249262328 1665683104 1717735701 2290314268 2498524656 3331366208 3435471402 4580628536 4997049312 6870942804 9161257072 9994098624 13741885608 18322514144 27483771216 36645028288 54967542432 109935084864