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12540511412 = 221113294118439
BaseRepresentation
bin10111010110111100…
…10000010010110100
31012100222011222121122
423223132100102310
5201140332331122
65432214403112
7622523405522
oct135336202264
935328158548
1012540511412
115355878920
12251b960498
13124b132170
1486d71b312
154d5e3c142
hex2eb7904b4

12540511412 has 96 divisors (see below), whose sum is σ = 27323654400. Its totient is φ = 4956134400.

The previous prime is 12540511411. The next prime is 12540511481. The reversal of 12540511412 is 21411504521.

It is a happy number.

12540511412 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 (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12540511411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 670889 + ... + 689327.

It is an arithmetic number, because the mean of its divisors is an integer number (284621400).

Almost surely, 212540511412 is an apocalyptic number.

It is an amenable number.

12540511412 is an abundant number, since it is smaller than the sum of its proper divisors (14783142988).

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

12540511412 is a wasteful number, since it uses less digits than its factorization.

12540511412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18537 (or 18535 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The spelling of 12540511412 in words is "twelve billion, five hundred forty million, five hundred eleven thousand, four hundred twelve".

Divisors: 1 2 4 11 13 22 26 29 41 44 52 58 82 116 143 164 286 319 377 451 533 572 638 754 902 1066 1189 1276 1508 1804 2132 2378 4147 4756 5863 8294 11726 13079 15457 16588 18439 23452 26158 30914 36878 52316 61828 73756 170027 202829 239707 340054 405658 479414 534731 680108 755999 811316 958828 1069462 1511998 2138924 2636777 3023996 5273554 5882041 6951503 8315989 9827987 10547108 11764082 13903006 16631978 19655974 21923971 23528164 27806012 33263956 39311948 43847942 76466533 87695884 108107857 152933066 216215714 241163681 285011623 305866132 432431428 482327362 570023246 964654724 1140046492 3135127853 6270255706 12540511412