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107666155696 = 2411976306593
BaseRepresentation
bin110010001000101100…
…1110010100010110000
3101021220102212101212011
41210101121302202300
53231000013440241
6121243335212304
710531032136441
oct1442131624260
9337812771764
10107666155696
114172a813370
1218a49217094
13a1cab35048
1452d52652c8
152c0228d281
hex19116728b0

107666155696 has 40 divisors (see below), whose sum is σ = 229913190864. Its totient is φ = 48434626560.

The previous prime is 107666155657. The next prime is 107666155721. The reversal of 107666155696 is 696551666701.

It is a happy number.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 107666155696.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3136225 + ... + 3170368.

Almost surely, 2107666155696 is an apocalyptic number.

107666155696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107666155696 is an abundant number, since it is smaller than the sum of its proper divisors (122247035168).

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

107666155696 is a wasteful number, since it uses less digits than its factorization.

107666155696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306709 (or 6306703 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 58.

It can be divided in two parts, 107666 and 155696, that added together give a palindrome (263362).

The spelling of 107666155696 in words is "one hundred seven billion, six hundred sixty-six million, one hundred fifty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 388 776 1067 1552 2134 4268 8536 17072 6306593 12613186 25226372 50452744 69372523 100905488 138745046 277490092 554980184 611739521 1109960368 1223479042 2446958084 4893916168 6729134731 9787832336 13458269462 26916538924 53833077848 107666155696