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109956816 = 24321744917
BaseRepresentation
bin1101000110111…
…00111011010000
321122220101101200
412203130323100
5211122104231
614524431200
72503421544
oct643347320
9248811350
10109956816
1157082202
12309a8500
1319a1b808
1410863a24
1599bebe6
hex68dced0

109956816 has 60 divisors (see below), whose sum is σ = 325835172. Its totient is φ = 34495488.

The previous prime is 109956809. The next prime is 109956877. The reversal of 109956816 is 618659901.

It can be written as a sum of positive squares in 2 ways, for example, as 47610000 + 62346816 = 6900^2 + 7896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20011 + ... + 24906.

Almost surely, 2109956816 is an apocalyptic number.

109956816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

109956816 is an abundant number, since it is smaller than the sum of its proper divisors (215878356).

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

109956816 is a wasteful number, since it uses less digits than its factorization.

109956816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44948 (or 44939 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 109956816 is about 10486.0295631855. The cubic root of 109956816 is about 479.0792766888.

The spelling of 109956816 in words is "one hundred nine million, nine hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 44917 89834 134751 179668 269502 359336 404253 539004 718672 763589 808506 1078008 1527178 1617012 2156016 2290767 3054356 3234024 4581534 6108712 6468048 6872301 9163068 12217424 13744602 18326136 27489204 36652272 54978408 109956816