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107154143405604 = 223217175088469617
BaseRepresentation
bin11000010111010011000100…
…101001110110011000100100
3112001101211120111021211111100
4120113103010221312120210
5103021103141202434404
61015521533420240100
731366426364553441
oct3027230451663044
9461354514254440
10107154143405604
11311628a94a4619
12100272359a0030
1347a37915728c9
141c66406bdc9c8
15c5c4d26edd39
hex6174c4a76624

107154143405604 has 36 divisors (see below), whose sum is σ = 286794913234284. Its totient is φ = 33616986166272.

The previous prime is 107154143405581. The next prime is 107154143405657. The reversal of 107154143405604 is 406504341451701.

107154143405604 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 5 + 4 + 1 + 4 + 34 + 0 + 5 + 604 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85860053244900 + 21294090160704 = 9266070^2 + 4614552^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1071541434056042 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107154143405604.

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, 87544234197 + ... + 87544235420.

It is an arithmetic number, because the mean of its divisors is an integer number (7966525367619).

Almost surely, 2107154143405604 is an apocalyptic number.

It is an amenable number.

107154143405604 is an abundant number, since it is smaller than the sum of its proper divisors (179640769828680).

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

107154143405604 is a wasteful number, since it uses less digits than its factorization.

107154143405604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175088469644 (or 175088469639 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 107154143405604 in words is "one hundred seven trillion, one hundred fifty-four billion, one hundred forty-three million, four hundred five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 175088469617 350176939234 525265408851 700353878468 1050530817702 1575796226553 2101061635404 2976503983489 3151592453106 5953007966978 6303184906212 8929511950467 11906015933956 17859023900934 26788535851401 35718047801868 53577071702802 107154143405604