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107013774006 = 232311371399861
BaseRepresentation
bin110001110101010000…
…1001001101010110110
3101020012222021222102100
41203222201021222312
53223131011232011
6121054512322530
710505621033136
oct1435241115266
9336188258370
10107013774006
1141425538347
12188a6843446
13a125928c89
145272764ac6
152bb4d74d56
hex18ea849ab6

107013774006 has 48 divisors (see below), whose sum is σ = 241089833088. Its totient is φ = 34268572800.

The previous prime is 107013773981. The next prime is 107013774047. The reversal of 107013774006 is 600477310701.

It is a super-2 number, since 2×1070137740062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623485 + ... + 776376.

It is an arithmetic number, because the mean of its divisors is an integer number (5022704856).

Almost surely, 2107013774006 is an apocalyptic number.

107013774006 is an abundant number, since it is smaller than the sum of its proper divisors (134076059082).

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

107013774006 is a wasteful number, since it uses less digits than its factorization.

107013774006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400037 (or 1400034 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 107013774006 in words is "one hundred seven billion, thirteen million, seven hundred seventy-four thousand, six".

Divisors: 1 2 3 6 9 18 31 62 93 137 186 274 279 411 558 822 1233 2466 4247 8494 12741 25482 38223 76446 1399861 2799722 4199583 8399166 12598749 25197498 43395691 86791382 130187073 191780957 260374146 383561914 390561219 575342871 781122438 1150685742 1726028613 3452057226 5945209667 11890419334 17835629001 35671258002 53506887003 107013774006