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12612044544 = 283119291607
BaseRepresentation
bin10111011111011110…
…01000011100000000
31012112221210020121220
423233233020130000
5201312140411134
65443251515040
7624352416111
oct135757103400
935487706556
1012612044544
115392196810
12253b8b8a80
13125cbb9768
1487901c208
154dc36c149
hex2efbc8700

12612044544 has 144 divisors (see below), whose sum is σ = 36680152320. Its totient is φ = 3815342080.

The previous prime is 12612044539. The next prime is 12612044551. The reversal of 12612044544 is 44544021621.

12612044544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7847389 + ... + 7848995.

It is an arithmetic number, because the mean of its divisors is an integer number (254723280).

Almost surely, 212612044544 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 12612044544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18340076160).

12612044544 is an abundant number, since it is smaller than the sum of its proper divisors (24068107776).

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

12612044544 is a wasteful number, since it uses less digits than its factorization.

12612044544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 12612044544 in words is "twelve billion, six hundred twelve million, forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 929 1056 1408 1607 1858 2112 2787 2816 3214 3716 4224 4821 5574 6428 7432 8448 9642 10219 11148 12856 14864 17677 19284 20438 22296 25712 29728 30657 35354 38568 40876 44592 51424 53031 59456 61314 70708 77136 81752 89184 102848 106062 118912 122628 141416 154272 163504 178368 205696 212124 237824 245256 282832 308544 327008 356736 411392 424248 490512 565664 617088 654016 713472 848496 981024 1131328 1234176 1308032 1492903 1696992 1962048 2262656 2616064 2985806 3393984 3924096 4478709 4525312 5971612 6787968 7848192 8957418 11943224 13575936 16421933 17914836 23886448 32843866 35829672 47772896 49265799 65687732 71659344 95545792 98531598 131375464 143318688 191091584 197063196 262750928 286637376 382183168 394126392 525501856 573274752 788252784 1051003712 1146549504 1576505568 2102007424 3153011136 4204014848 6306022272 12612044544