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10336514304 = 28338335141
BaseRepresentation
bin10011010000001101…
…01011000100000000
3222200100222022222010
421220012223010000
5132132121424204
64425403212520
7514101631134
oct115006530400
928610868863
1010336514304
114424769206
122005817140
13c8963136c
14700b1d3c4
154076d0d89
hex2681ab100

10336514304 has 72 divisors (see below), whose sum is σ = 27582815232. Its totient is φ = 3436410880.

The previous prime is 10336514297. The next prime is 10336514327. The reversal of 10336514304 is 40341563301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276574 + ... + 311714.

It is an arithmetic number, because the mean of its divisors is an integer number (383094656).

Almost surely, 210336514304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10336514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791407616).

10336514304 is an abundant number, since it is smaller than the sum of its proper divisors (17246300928).

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

10336514304 is an equidigital number, since it uses as much as digits as its factorization.

10336514304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35543 (or 35529 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 10336514304 in words is "ten billion, three hundred thirty-six million, five hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 383 384 766 768 1149 1532 2298 3064 4596 6128 9192 12256 18384 24512 35141 36768 49024 70282 73536 98048 105423 140564 147072 210846 281128 294144 421692 562256 843384 1124512 1686768 2249024 3373536 4498048 6747072 8996096 13459003 13494144 26918006 26988288 40377009 53836012 80754018 107672024 161508036 215344048 323016072 430688096 646032144 861376192 1292064288 1722752384 2584128576 3445504768 5168257152 10336514304