Search a number
-
+
12437377056 = 2532133321949
BaseRepresentation
bin10111001010101001…
…10101000000100000
31012002210010012212200
423211110311000200
5200432432031211
65414052053200
7620131650336
oct134524650040
935083105780
1012437377056
115302636515
1224b1304200
131232961b10
1485db51b56
154cbd68b56
hex2e5535020

12437377056 has 72 divisors (see below), whose sum is σ = 38089478700. Its totient is φ = 3826884096.

The previous prime is 12437377037. The next prime is 12437377091. The reversal of 12437377056 is 65077373421.

It can be written as a sum of positive squares in 2 ways, for example, as 11296288656 + 1141088400 = 106284^2 + 33780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1657231 + ... + 1664718.

Almost surely, 212437377056 is an apocalyptic number.

12437377056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12437377056 is an abundant number, since it is smaller than the sum of its proper divisors (25652101644).

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

12437377056 is a wasteful number, since it uses less digits than its factorization.

12437377056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321978 (or 3321967 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 12437377056 in words is "twelve billion, four hundred thirty-seven million, three hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 3321949 6643898 9965847 13287796 19931694 26575592 29897541 39863388 43185337 53151184 59795082 79726776 86370674 106302368 119590164 129556011 159453552 172741348 239180328 259112022 318907104 345482696 388668033 478360656 518224044 690965392 777336066 956721312 1036448088 1381930784 1554672132 2072896176 3109344264 4145792352 6218688528 12437377056