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102745709073873 = 3231736013217341
BaseRepresentation
bin10111010111001001011001…
…011111011101010111010001
3111110210101122010100022112200
4113113021121133131113101
5101431341203010330443
61002304421021113413
730433063311165015
oct2727113137352721
9443711563308480
10102745709073873
112a813235219368
12b6349820b8869
134543b56923908
141b52cc1492545
15bd29b9658dd3
hex5d72597dd5d1

102745709073873 has 12 divisors (see below), whose sum is σ = 148878640491828. Its totient is φ = 68281060076640.

The previous prime is 102745709073869. The next prime is 102745709073883. The reversal of 102745709073873 is 378370907547201.

102745709073873 is a `hidden beast` number, since 1 + 0 + 27 + 4 + 570 + 9 + 0 + 7 + 38 + 7 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63300991140864 + 39444717933009 = 7956192^2 + 6280503^2 .

It is not a de Polignac number, because 102745709073873 - 22 = 102745709073869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102745709073873.

It is not an unprimeable number, because it can be changed into a prime (102745709073883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18006605818 + ... + 18006611523.

It is an arithmetic number, because the mean of its divisors is an integer number (12406553374319).

Almost surely, 2102745709073873 is an apocalyptic number.

It is an amenable number.

102745709073873 is a deficient number, since it is larger than the sum of its proper divisors (46132931417955).

102745709073873 is a wasteful number, since it uses less digits than its factorization.

102745709073873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36013217664 (or 36013217661 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 102745709073873 in words is "one hundred two trillion, seven hundred forty-five billion, seven hundred nine million, seventy-three thousand, eight hundred seventy-three".

Divisors: 1 3 9 317 951 2853 36013217341 108039652023 324118956069 11416189897097 34248569691291 102745709073873