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103685736906 = 234640035413
BaseRepresentation
bin110000010010000100…
…1101100100111001010
3100220122001000011210000
41200210021230213022
53144322022040111
6115344345103430
710330300136103
oct1404411544712
9326561004700
10103685736906
113aa77993864
1218118187b76
139a152ab25b
14503876b3aa
152a6cad4c56
hex182426c9ca

103685736906 has 20 divisors (see below), whose sum is σ = 232332855282. Its totient is φ = 34561912248.

The previous prime is 103685736899. The next prime is 103685736907. The reversal of 103685736906 is 609637586301.

103685736906 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 8 + 573 + 69 + 0 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76098187881 + 27587549025 = 275859^2 + 166095^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (103685736907) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 320017545 + ... + 320017868.

Almost surely, 2103685736906 is an apocalyptic number.

103685736906 is an abundant number, since it is smaller than the sum of its proper divisors (128647118376).

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

103685736906 is an equidigital number, since it uses as much as digits as its factorization.

103685736906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640035427 (or 640035418 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 103685736906 in words is "one hundred three billion, six hundred eighty-five million, seven hundred thirty-six thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 640035413 1280070826 1920106239 3840212478 5760318717 11520637434 17280956151 34561912302 51842868453 103685736906