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45162821232 = 24327310694019
BaseRepresentation
bin101010000011111010…
…011111011001110000
311022120110211000210200
4222003322133121300
51214443140234412
632425243555200
73156114434514
oct520372373160
9138513730720
1045162821232
1118176265051
128904b2bb00
13434987ba79
142286134144
151294da19dc
hexa83e9f670

45162821232 has 120 divisors (see below), whose sum is σ = 128276350800. Its totient is φ = 14830470144.

The previous prime is 45162821213. The next prime is 45162821243. The reversal of 45162821232 is 23212826154.

45162821232 is a `hidden beast` number, since 4 + 5 + 1 + 628 + 2 + 1 + 23 + 2 = 666.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11235319 + ... + 11239337.

It is an arithmetic number, because the mean of its divisors is an integer number (1068969590).

Almost surely, 245162821232 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 45162821232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64138175400).

45162821232 is an abundant number, since it is smaller than the sum of its proper divisors (83113529568).

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

45162821232 is a wasteful number, since it uses less digits than its factorization.

45162821232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5166 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 45162821232 in words is "forty-five billion, one hundred sixty-two million, eight hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1069 1168 1314 1752 2138 2628 3207 3504 4019 4276 5256 6414 8038 8552 9621 10512 12057 12828 16076 17104 19242 24114 25656 32152 36171 38484 48228 51312 64304 72342 76968 78037 96456 144684 153936 156074 192912 234111 289368 293387 312148 468222 578736 586774 624296 702333 880161 936444 1173548 1248592 1404666 1760322 1872888 2347096 2640483 2809332 3520644 3745776 4296311 4694192 5280966 5618664 7041288 8592622 10561932 11237328 12888933 14082576 17185244 21123864 25777866 34370488 38666799 42247728 51555732 68740976 77333598 103111464 154667196 206222928 309334392 313630703 618668784 627261406 940892109 1254522812 1881784218 2509045624 2822676327 3763568436 5018091248 5645352654 7527136872 11290705308 15054273744 22581410616 45162821232