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45575418256 = 24192534
BaseRepresentation
bin101010011100100000…
…011011000110010000
311100122020012010111221
4222130200123012100
51221314301341011
632534223214424
73202254443344
oct523440330620
9140566163457
1045575418256
1118368154325
1289bb147414
1343b41b1014
1422c4c57624
1512bb202971
hexa9c81b190

45575418256 has 75 divisors (see below), whose sum is σ = 94986672231. Its totient is φ = 21181028544.

The previous prime is 45575418233. The next prime is 45575418277. The reversal of 45575418256 is 65281457554.

The square root of 45575418256 is 213484.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 8895507856 + 36679910400 = 94316^2 + 191520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 859913526 + ... + 859913578.

Almost surely, 245575418256 is an apocalyptic number.

45575418256 is the 213484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45575418256

45575418256 is an abundant number, since it is smaller than the sum of its proper divisors (49411253975).

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

45575418256 is an frugal number, since it uses more digits than its factorization.

45575418256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 74 counting only the distinct ones).

The product of its digits is 6720000, while the sum is 52.

The spelling of 45575418256 in words is "forty-five billion, five hundred seventy-five million, four hundred eighteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 361 424 722 848 1007 1444 2014 2809 2888 4028 5618 5776 8056 11236 16112 19133 22472 38266 44944 53371 76532 106742 148877 153064 213484 297754 306128 426968 595508 853936 1014049 1191016 2028098 2382032 2828663 4056196 5657326 7890481 8112392 11314652 15780962 16224784 22629304 31561924 45258608 53744597 63123848 107489194 126247696 149919139 214978388 299838278 429956776 599676556 859913552 1199353112 2398706224 2848463641 5696927282 11393854564 22787709128 45575418256