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45572315472 = 2433401263071
BaseRepresentation
bin101010011100010100…
…100101100101010000
311100122000100111022000
4222130110211211100
51221313003043342
632534032514000
73202216201335
oct523424454520
9140560314260
1045572315472
1118366425142
1289ba0ab900
1343b3665958
1422c468a98c
1512bacdd44c
hexa9c525950

45572315472 has 80 divisors (see below), whose sum is σ = 131136130560. Its totient is φ = 15152832000.

The previous prime is 45572315447. The next prime is 45572315533. The reversal of 45572315472 is 27451327554.

45572315472 is a `hidden beast` number, since 4 + 5 + 5 + 72 + 31 + 547 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41697 + ... + 304767.

It is an arithmetic number, because the mean of its divisors is an integer number (1639201632).

Almost surely, 245572315472 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 45572315472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65568065280).

45572315472 is an abundant number, since it is smaller than the sum of its proper divisors (85563815088).

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

45572315472 is a wasteful number, since it uses less digits than its factorization.

45572315472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263489 (or 263477 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 45.

The spelling of 45572315472 in words is "forty-five billion, five hundred seventy-two million, three hundred fifteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 401 432 802 1203 1604 2406 3208 3609 4812 6416 7218 9624 10827 14436 19248 21654 28872 43308 57744 86616 173232 263071 526142 789213 1052284 1578426 2104568 2367639 3156852 4209136 4735278 6313704 7102917 9470556 12627408 14205834 18941112 28411668 37882224 56823336 105491471 113646672 210982942 316474413 421965884 632948826 843931768 949423239 1265897652 1687863536 1898846478 2531795304 2848269717 3797692956 5063590608 5696539434 7595385912 11393078868 15190771824 22786157736 45572315472