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107947730916 = 2234182532
BaseRepresentation
bin110010010001000101…
…1111010011111100100
3101022122001200220110000
41210202023322133210
53232034104342131
6121331314301300
710541021400444
oct1444213723744
9338561626400
10107947730916
1141864752a63
1218b07587830
13a2442816bc
145320800124
152c1bd5cce6
hex19222fa7e4

107947730916 has 45 divisors (see below), whose sum is σ = 282212152761. Its totient is φ = 35980605648.

The previous prime is 107947730887. The next prime is 107947730953. The reversal of 107947730916 is 619037749701.

The square root of 107947730916 is 328554.

It is a perfect power (a square), and thus also a powerful number.

107947730916 is a `hidden beast` number, since 10 + 79 + 477 + 3 + 0 + 91 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 295496100 + 107652234816 = 17190^2 + 328104^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 14 ways as a sum of consecutive naturals, for example, 5904846 + ... + 5923098.

Almost surely, 2107947730916 is an apocalyptic number.

107947730916 is the 328554-th square number.

It is an amenable number.

107947730916 is an abundant number, since it is smaller than the sum of its proper divisors (174264421845).

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

107947730916 is an frugal number, since it uses more digits than its factorization.

107947730916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36522 (or 18258 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 107947730916 in words is "one hundred seven billion, nine hundred forty-seven million, seven hundred thirty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 18253 36506 54759 73012 109518 164277 219036 328554 492831 657108 985662 1478493 1971324 2956986 5913972 333172009 666344018 999516027 1332688036 1999032054 2998548081 3998064108 5997096162 8995644243 11994192324 17991288486 26986932729 35982576972 53973865458 107947730916