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12759257140 = 22573111326017
BaseRepresentation
bin10111110001000001…
…01101000000110100
31012221012210102100021
423320200231000310
5202112332212030
65510031054524
7631120616260
oct137040550064
935835712307
1012759257140
1154582a4813
122581071444
1312845509c6
148907bd0a0
154ea24a97a
hex2f882d034

12759257140 has 96 divisors (see below), whose sum is σ = 31890991104. Its totient is φ = 4195860480.

The previous prime is 12759257123. The next prime is 12759257141. The reversal of 12759257140 is 4175295721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12759257141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477412 + ... + 503428.

It is an arithmetic number, because the mean of its divisors is an integer number (332197824).

Almost surely, 212759257140 is an apocalyptic number.

12759257140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12759257140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945495552).

12759257140 is an abundant number, since it is smaller than the sum of its proper divisors (19131733964).

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

12759257140 is a wasteful number, since it uses less digits than its factorization.

12759257140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26177 (or 26175 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 12759257140 in words is "twelve billion, seven hundred fifty-nine million, two hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 113 124 140 155 217 226 310 434 452 565 620 791 868 1085 1130 1582 2170 2260 3164 3503 3955 4340 7006 7910 14012 15820 17515 24521 26017 35030 49042 52034 70060 98084 104068 122605 130085 182119 245210 260170 364238 490420 520340 728476 806527 910595 1613054 1821190 2939921 3226108 3642380 4032635 5645689 5879842 8065270 11291378 11759684 14699605 16130540 20579447 22582756 28228445 29399210 41158894 56456890 58798420 82317788 91137551 102897235 112913780 182275102 205794470 364550204 411588940 455687755 637962857 911375510 1275925714 1822751020 2551851428 3189814285 6379628570 12759257140