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104736497157 = 32174611484929
BaseRepresentation
bin110000110001011001…
…0000001111000000101
3101000100021012022212100
41201202302001320011
53204000020402112
6120040522342313
710365316352055
oct1414262017005
9330307168770
10104736497157
1140467027566
121837005a999
139b51bab896
1450d812d565
152acee912dc
hex1862c81e05

104736497157 has 24 divisors (see below), whose sum is σ = 160532812440. Its totient is φ = 65574420480.

The previous prime is 104736497149. The next prime is 104736497183. The reversal of 104736497157 is 751794637401.

104736497157 is a `hidden beast` number, since 1 + 0 + 47 + 364 + 97 + 157 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9888512481 + 94847984676 = 99441^2 + 307974^2 .

It is not a de Polignac number, because 104736497157 - 23 = 104736497149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104736497147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671932 + ... + 812997.

It is an arithmetic number, because the mean of its divisors is an integer number (6688867185).

Almost surely, 2104736497157 is an apocalyptic number.

104736497157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

104736497157 is a deficient number, since it is larger than the sum of its proper divisors (55796315283).

104736497157 is a wasteful number, since it uses less digits than its factorization.

104736497157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485413 (or 1485410 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 104736497157 in words is "one hundred four billion, seven hundred thirty-six million, four hundred ninety-seven thousand, one hundred fifty-seven".

Divisors: 1 3 9 17 51 153 461 1383 4149 7837 23511 70533 1484929 4454787 13364361 25243793 75731379 227194137 684552269 2053656807 6160970421 11637388573 34912165719 104736497157