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104564336031 = 3229339652763
BaseRepresentation
bin110000101100010000…
…1010010010110011111
3100222220021020122012100
41201120201102112133
53203121432223111
6120011452340143
710361126122431
oct1413041222637
9328807218170
10104564336031
1140388929341
1218322474653
139b253209ac
1450bd316651
152abecd5756
hex185885259f

104564336031 has 12 divisors (see below), whose sum is σ = 151552864008. Its totient is φ = 69471639024.

The previous prime is 104564335973. The next prime is 104564336039. The reversal of 104564336031 is 130633465401.

104564336031 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 6 + 43 + 3 + 603 + 1 = 666.

It is not a de Polignac number, because 104564336031 - 214 = 104564319647 is a prime.

It is a super-2 number, since 2×1045643360312 (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 (104564336039) 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, 19823745 + ... + 19829018.

It is an arithmetic number, because the mean of its divisors is an integer number (12629405334).

Almost surely, 2104564336031 is an apocalyptic number.

104564336031 is a deficient number, since it is larger than the sum of its proper divisors (46988527977).

104564336031 is a wasteful number, since it uses less digits than its factorization.

104564336031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39653062 (or 39653059 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 104564336031 in words is "one hundred four billion, five hundred sixty-four million, three hundred thirty-six thousand, thirty-one".

Divisors: 1 3 9 293 879 2637 39652763 118958289 356874867 11618259559 34854778677 104564336031