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45115442054232 = 23311374618697999
BaseRepresentation
bin10100100001000010000011…
…11001011100010001011000
312220201222211201122010001220
422100201001321130101120
521403132411131213412
6235541425320412040
712334324466060514
oct1220410171342130
9186658751563056
1045115442054232
1113414395978620
125087812317020
131c234a2461654
14b1d855ad7144
155338521ab68c
hex290841e5c458

45115442054232 has 64 divisors (see below), whose sum is σ = 126367577280000. Its totient is φ = 13301850234240.

The previous prime is 45115442054231. The next prime is 45115442054233. The reversal of 45115442054232 is 23245024451154.

It is an interprime number because it is at equal distance from previous prime (45115442054231) and next prime (45115442054233).

It is a super-3 number, since 3×451154420542323 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45115442054231) 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, 2309339232 + ... + 2309358767.

It is an arithmetic number, because the mean of its divisors is an integer number (1974493395000).

Almost surely, 245115442054232 is an apocalyptic number.

It is an amenable number.

45115442054232 is an abundant number, since it is smaller than the sum of its proper divisors (81252135225768).

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

45115442054232 is a wasteful number, since it uses less digits than its factorization.

45115442054232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618698056 (or 4618698052 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 45115442054232 in words is "forty-five trillion, one hundred fifteen billion, four hundred forty-two million, fifty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 4618697999 9237395998 13856093997 18474791996 27712187994 36949583992 50805677989 55424375988 101611355978 110848751976 152417033967 170891825963 203222711956 304834067934 341783651926 406445423912 512675477889 609668135868 683567303852 1025350955778 1219336271736 1367134607704 1879810085593 2050701911556 3759620171186 4101403823112 5639430256779 7519240342372 11278860513558 15038480684744 22557721027116 45115442054232