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104720829597 = 32101115204433
BaseRepresentation
bin110000110000111011…
…0010000110010011101
3101000022011201100000100
41201201312100302131
53203432013021342
6120035202451313
710365036236046
oct1414166206235
9330264640010
10104720829597
11404591a626a
1218366963b39
139b4b884437
1450d60118cd
152acd8e8e4c
hex1861d90c9d

104720829597 has 12 divisors (see below), whose sum is σ = 152761079484. Its totient is φ = 69122659200.

The previous prime is 104720829593. The next prime is 104720829599. The reversal of 104720829597 is 795928027401.

104720829597 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 20 + 8 + 29 + 597 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101779502841 + 2941326756 = 319029^2 + 54234^2 .

It is not a de Polignac number, because 104720829597 - 22 = 104720829593 is a prime.

It is a super-2 number, since 2×1047208295972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104720829593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57601308 + ... + 57603125.

It is an arithmetic number, because the mean of its divisors is an integer number (12730089957).

Almost surely, 2104720829597 is an apocalyptic number.

It is an amenable number.

104720829597 is a deficient number, since it is larger than the sum of its proper divisors (48040249887).

104720829597 is a wasteful number, since it uses less digits than its factorization.

104720829597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115204540 (or 115204537 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 104720829597 in words is "one hundred four billion, seven hundred twenty million, eight hundred twenty-nine thousand, five hundred ninety-seven".

Divisors: 1 3 9 101 303 909 115204433 345613299 1036839897 11635647733 34906943199 104720829597