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106736255752 = 23716721154091
BaseRepresentation
bin110001101100111111…
…0100000001100001000
3101012111122002120221111
41203121332200030020
53222043440141002
6121011200220104
710466011130050
oct1433176401410
9335448076844
10106736255752
11412a2919815
121882990a634
13a0b02a00a9
145247964560
152b9a8073d7
hex18d9fa0308

106736255752 has 64 divisors (see below), whose sum is σ = 231184880640. Its totient is φ = 45253857600.

The previous prime is 106736255741. The next prime is 106736255767. The reversal of 106736255752 is 257552637601.

It is a happy number.

It is a super-2 number, since 2×1067362557522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106736255696 and 106736255705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1946227 + ... + 2000317.

It is an arithmetic number, because the mean of its divisors is an integer number (3612263760).

Almost surely, 2106736255752 is an apocalyptic number.

It is an amenable number.

106736255752 is an abundant number, since it is smaller than the sum of its proper divisors (124448624888).

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

106736255752 is a wasteful number, since it uses less digits than its factorization.

106736255752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54482 (or 54478 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 49.

The spelling of 106736255752 in words is "one hundred six billion, seven hundred thirty-six million, two hundred fifty-five thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 167 211 334 422 668 844 1169 1336 1477 1688 2338 2954 4676 5908 9352 11816 35237 54091 70474 108182 140948 216364 246659 281896 378637 432728 493318 757274 986636 1514548 1973272 3029096 9033197 11413201 18066394 22826402 36132788 45652804 63232379 72265576 79892407 91305608 126464758 159784814 252929516 319569628 505859032 639139256 1906004567 3812009134 7624018268 13342031969 15248036536 26684063938 53368127876 106736255752