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45688110832 = 24713181117327
BaseRepresentation
bin101010100011001110…
…010011111011110000
311100221002020111200001
4222203032103323300
51222032124021312
632553330435344
73205123351210
oct524316237360
9140832214601
1045688110832
1118415824991
128a30a32b54
134401649b10
1422d5bd0240
1512c6063057
hexaa3393ef0

45688110832 has 80 divisors (see below), whose sum is σ = 109015022592. Its totient is φ = 18063394560.

The previous prime is 45688110821. The next prime is 45688110863. The reversal of 45688110832 is 23801188654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2628153 + ... + 2645479.

Almost surely, 245688110832 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 45688110832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54507511296).

45688110832 is an abundant number, since it is smaller than the sum of its proper divisors (63326911760).

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

45688110832 is a wasteful number, since it uses less digits than its factorization.

45688110832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19166 (or 19160 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

It can be divided in two parts, 45688 and 110832, that added together give a triangular number (156520 = T559).

The spelling of 45688110832 in words is "forty-five billion, six hundred eighty-eight million, one hundred ten thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 1811 3622 7244 12677 14488 17327 23543 25354 28976 34654 47086 50708 69308 94172 101416 121289 138616 164801 188344 202832 225251 242578 277232 329602 376688 450502 485156 659204 901004 970312 1318408 1576757 1802008 1940624 2636816 3153514 3604016 6307028 12614056 25228112 31379197 62758394 125516788 219654379 251033576 407929561 439308758 502067152 815859122 878617516 1631718244 1757235032 2855506927 3263436488 3514470064 5711013854 6526872976 11422027708 22844055416 45688110832