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2691817759904 = 257133372742991
BaseRepresentation
bin100111001010111100110…
…101110110010010100000
3100112100001102000101101112
4213022330311312102200
5323100320321304104
65420334244322452
7365322516303140
oct47127465662240
910470042011345
102691817759904
11948658a4a389
123758383a3428
13166ab67b1810
14943db20c920
154a048a8c86e
hex272bcd764a0

2691817759904 has 96 divisors (see below), whose sum is σ = 6541838424576. Its totient is φ = 1061734625280.

The previous prime is 2691817759901. The next prime is 2691817759937. The reversal of 2691817759904 is 4099577181962.

2691817759904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2691817759901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390152 + ... + 2352839.

It is an arithmetic number, because the mean of its divisors is an integer number (68144150256).

Almost surely, 22691817759904 is an apocalyptic number.

It is an amenable number.

2691817759904 is an abundant number, since it is smaller than the sum of its proper divisors (3850020664672).

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

2691817759904 is a wasteful number, since it uses less digits than its factorization.

2691817759904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743358 (or 2743350 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 68.

The spelling of 2691817759904 in words is "two trillion, six hundred ninety-one billion, eight hundred seventeen million, seven hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 337 364 416 674 728 1348 1456 2359 2696 2912 4381 4718 5392 8762 9436 10784 17524 18872 30667 35048 37744 61334 70096 75488 122668 140192 245336 490672 981344 2742991 5485982 10971964 19200937 21943928 35658883 38401874 43887856 71317766 76803748 87775712 142635532 153607496 249612181 285271064 307214992 499224362 570542128 614429984 924387967 998448724 1141084256 1848775934 1996897448 3697551868 3993794896 6470715769 7395103736 7987589792 12017043571 12941431538 14790207472 24034087142 25882863076 29580414944 48068174284 51765726152 84119304997 96136348568 103531452304 168238609994 192272697136 207062904608 336477219988 384545394272 672954439976 1345908879952 2691817759904