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45212606256 = 2431915998233
BaseRepresentation
bin101010000110111000…
…011001111100110000
311022200221111101000110
4222012320121330300
51220043411400011
632434223021320
73160260545406
oct520670317460
9138627441013
1045212606256
11181a13792a4
12891973a840
134356c9036c
14228c9b3476
151299437ba6
hexa86e19f30

45212606256 has 80 divisors (see below), whose sum is σ = 117621043200. Its totient is φ = 14965117440.

The previous prime is 45212606251. The next prime is 45212606291. The reversal of 45212606256 is 65260621254.

It is not an unprimeable number, because it can be changed into a prime (45212606251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5487516 + ... + 5495748.

It is an arithmetic number, because the mean of its divisors is an integer number (1470263040).

Almost surely, 245212606256 is an apocalyptic number.

It is an amenable number.

45212606256 is an abundant number, since it is smaller than the sum of its proper divisors (72408436944).

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

45212606256 is a wasteful number, since it uses less digits than its factorization.

45212606256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9034 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 45212606256 in words is "forty-five billion, two hundred twelve million, six hundred six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 191 382 573 599 764 1146 1198 1528 1797 2292 2396 3056 3594 4584 4792 7188 8233 9168 9584 14376 16466 24699 28752 32932 49398 65864 98796 114409 131728 197592 228818 343227 395184 457636 686454 915272 1372908 1572503 1830544 2745816 3145006 4717509 4931567 5491632 6290012 9435018 9863134 12580024 14794701 18870036 19726268 25160048 29589402 37740072 39452536 59178804 75480144 78905072 118357608 236715216 941929297 1883858594 2825787891 3767717188 5651575782 7535434376 11303151564 15070868752 22606303128 45212606256