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45530512132 = 22723897691033
BaseRepresentation
bin101010011001110101…
…000111101100000100
311100112002200122220011
4222121311013230010
51221221302342012
632525540520004
73201200652610
oct523165075404
9140462618804
1045530512132
1118344872726
1289a80b0004
1343a7aba351
1422bccc8340
1512b72d21a7
hexa99d47b04

45530512132 has 96 divisors (see below), whose sum is σ = 96305932800. Its totient is φ = 18413125632.

The previous prime is 45530512127. The next prime is 45530512133. The reversal of 45530512132 is 23121503554.

It is a junction number, because it is equal to n+sod(n) for n = 45530512094 and 45530512103.

It is not an unprimeable number, because it can be changed into a prime (45530512133) 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, 44075488 + ... + 44076520.

It is an arithmetic number, because the mean of its divisors is an integer number (1003186800).

Almost surely, 245530512132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45530512132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48152966400).

45530512132 is an abundant number, since it is smaller than the sum of its proper divisors (50775420668).

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

45530512132 is a wasteful number, since it uses less digits than its factorization.

45530512132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 45530512132 in words is "forty-five billion, five hundred thirty million, five hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 89 92 161 178 322 356 623 644 769 1033 1246 1538 2047 2066 2492 3076 4094 4132 5383 7231 8188 10766 14329 14462 17687 21532 23759 28658 28924 35374 47518 57316 68441 70748 91937 95036 123809 136882 166313 183874 247618 273764 332626 367748 479087 495236 643559 665252 794377 958174 1287118 1574143 1588754 1916348 2114551 2574236 3148286 3177508 4229102 5560639 6296572 8458204 11019001 11121278 14801857 18270671 22038002 22242556 29603714 36541342 44076004 59207428 70699553 73082684 127894697 141399106 255789394 282798212 494896871 511578788 989793742 1626089719 1979587484 3252179438 6504358876 11382628033 22765256066 45530512132