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107918163081 = 36236
BaseRepresentation
bin110010010000001101…
…1000111110010001001
3101022120000001201000000
41210200123013302021
53232004022204311
6121324340433213
710540212152031
oct1444033076211
9338500051000
10107918163081
1141849a98233
1218ab96a8809
13a23b0cb341
14531a9048c1
152c1946c056
hex19206c7c89

107918163081 has 49 divisors (see below), whose sum is σ = 169157918749. Its totient is φ = 68817379356.

The previous prime is 107918163037. The next prime is 107918163109. The reversal of 107918163081 is 180361819701.

The square root of 107918163081 is 328509.

The cubic root of 107918163081 is 4761.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

107918163081 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 1 + 8 + 1 + 630 + 8 + 1 = 666.

It is not a de Polignac number, because 107918163081 - 219 = 107917638793 is a prime.

It is a super-2 number, since 2×1079181630812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107918163281) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 4692094036 + ... + 4692094058.

Almost surely, 2107918163081 is an apocalyptic number.

107918163081 is the 328509-th square number.

107918163081 is the 164255-th centered octagonal number.

It is an amenable number.

107918163081 is a deficient number, since it is larger than the sum of its proper divisors (61239755668).

107918163081 is an frugal number, since it uses more digits than its factorization.

107918163081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 107918163081 in words is "one hundred seven billion, nine hundred eighteen million, one hundred sixty-three thousand, eighty-one".

Divisors: 1 3 9 23 27 69 81 207 243 529 621 729 1587 1863 4761 5589 12167 14283 16767 36501 42849 109503 128547 279841 328509 385641 839523 985527 2518569 2956581 6436343 7555707 8869743 19309029 22667121 57927087 68001363 148035889 173781261 204004089 444107667 521343783 1332323001 1564031349 3996969003 4692094047 11990907009 35972721027 107918163081