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12956245792 = 257618871069
BaseRepresentation
bin11000001000100000…
…01001111100100000
31020102221110110222021
430010100021330200
5203013244331132
65541345151224
7636032162230
oct140420117440
936387413867
1012956245792
115549510256
12261702b514
1312b62c2439
148aca19cc0
1550c6ac997
hex304409f20

12956245792 has 96 divisors (see below), whose sum is σ = 29690599680. Its totient is φ = 5450388480.

The previous prime is 12956245781. The next prime is 12956245831. The reversal of 12956245792 is 29754265921.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 12119434 + ... + 12120502.

It is an arithmetic number, because the mean of its divisors is an integer number (309277080).

Almost surely, 212956245792 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 12956245792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14845299840).

12956245792 is an abundant number, since it is smaller than the sum of its proper divisors (16734353888).

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

12956245792 is a wasteful number, since it uses less digits than its factorization.

12956245792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2026 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The spelling of 12956245792 in words is "twelve billion, nine hundred fifty-six million, two hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 887 976 1069 1708 1774 1952 2138 3416 3548 4276 6209 6832 7096 7483 8552 12418 13664 14192 14966 17104 24836 28384 29932 34208 49672 54107 59864 65209 99344 108214 119728 130418 198688 216428 239456 260836 378749 432856 456463 521672 757498 865712 912926 948203 1043344 1514996 1731424 1825852 1896406 2086688 3029992 3651704 3792812 6059984 6637421 7303408 7585624 12119968 13274842 14606816 15171248 26549684 30342496 53099368 57840383 106198736 115680766 212397472 231361532 404882681 462723064 809765362 925446128 1619530724 1850892256 3239061448 6478122896 12956245792