Search a number
-
+
112431506575464 = 23328099521202733
BaseRepresentation
bin11001100100000110000000…
…000000101101000001101000
3112202002100101000010212110100
4121210012000000231001220
5104214034211140403324
61035042153204145400
732452623354430026
oct3144060000550150
9482070330125410
10112431506575464
1132907a3041889a
1210739b90098260
134a973266c110b
141da99dd133716
15cee90510a4c9
hex66418002d068

112431506575464 has 96 divisors (see below), whose sum is σ = 304911915726600. Its totient is φ = 37426727546880.

The previous prime is 112431506575463. The next prime is 112431506575469. The reversal of 112431506575464 is 464575605134211.

112431506575464 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 3 + 1 + 5 + 0 + 6 + 575 + 4 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109218342774564 + 3213163800900 = 10450758^2 + 1792530^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112431506575464.

It is not an unprimeable number, because it can be changed into a prime (112431506575463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554477842 + ... + 554680574.

Almost surely, 2112431506575464 is an apocalyptic number.

It is an amenable number.

112431506575464 is an abundant number, since it is smaller than the sum of its proper divisors (192480409151136).

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

112431506575464 is a wasteful number, since it uses less digits than its factorization.

112431506575464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213075 (or 213068 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 112431506575464 in words is "one hundred twelve trillion, four hundred thirty-one billion, five hundred six million, five hundred seventy-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 809 1618 2427 3236 4854 6472 7281 9521 9708 14562 19042 19416 28563 29124 38084 57126 58248 76168 85689 114252 171378 202733 228504 342756 405466 608199 685512 810932 1216398 1621864 1824597 2432796 3649194 4865592 7298388 7702489 14596776 15404978 23107467 30809956 46214934 61619912 69322401 92429868 138644802 164010997 184859736 277289604 328021994 492032991 554579208 656043988 984065982 1312087976 1476098973 1930220893 1968131964 2952197946 3860441786 3936263928 5790662679 5904395892 7720883572 11581325358 11808791784 15441767144 17371988037 23162650716 34743976074 46325301432 69487952148 138975904296 1561548702437 3123097404874 4684646107311 6246194809748 9369292214622 12492389619496 14053938321933 18738584429244 28107876643866 37477168858488 56215753287732 112431506575464