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45436530132 = 22327414397651
BaseRepresentation
bin101010010100001110…
…100110110111010100
311100021112211212211100
4222110032212313110
51221023222431012
632512342310100
73165650063610
oct522416466724
9140245755740
1045436530132
11182a6811654
128980728330
1343914a2ab6
1422b0622340
1512ade1a8dc
hexa943a6dd4

45436530132 has 72 divisors (see below), whose sum is σ = 134462607552. Its totient is φ = 12665232000.

The previous prime is 45436530119. The next prime is 45436530157. The reversal of 45436530132 is 23103563454.

45436530132 is a `hidden beast` number, since 45 + 436 + 53 + 0 + 132 = 666.

45436530132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×454365301322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2188494 + ... + 2209157.

It is an arithmetic number, because the mean of its divisors is an integer number (1867536216).

Almost surely, 245436530132 is an apocalyptic number.

45436530132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45436530132 is an abundant number, since it is smaller than the sum of its proper divisors (89026077420).

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

45436530132 is a wasteful number, since it uses less digits than its factorization.

45436530132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397709 (or 4397704 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 45436530132 in words is "forty-five billion, four hundred thirty-six million, five hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 4397651 8795302 13192953 17590604 26385906 30783557 39578859 52771812 61567114 79157718 92350671 123134228 158315436 180303691 184701342 277052013 360607382 369402684 540911073 554104026 721214764 1081822146 1108208052 1262125837 1622733219 2163644292 2524251674 3245466438 3786377511 5048503348 6490932876 7572755022 11359132533 15145510044 22718265066 45436530132