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45067953420 = 22335743277273
BaseRepresentation
bin101001111110010000…
…100110010100001100
311022022212022020122000
4221332100212110030
51214244344002140
632412014352300
73153553166130
oct517620462414
9138285266560
1045067953420
11181277594a6
1288991bb690
134333014279
1422776bb3c0
15128b8b2a30
hexa7e42650c

45067953420 has 192 divisors, whose sum is σ = 163968752640. Its totient is φ = 10061646336.

The previous prime is 45067953391. The next prime is 45067953473. The reversal of 45067953420 is 2435976054.

45067953420 is a `hidden beast` number, since 4 + 50 + 67 + 9 + 534 + 2 + 0 = 666.

It is a super-2 number, since 2×450679534202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23904 + ... + 301176.

It is an arithmetic number, because the mean of its divisors is an integer number (854003920).

Almost surely, 245067953420 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 45067953420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81984376320).

45067953420 is an abundant number, since it is smaller than the sum of its proper divisors (118900799220).

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

45067953420 is a wasteful number, since it uses less digits than its factorization.

45067953420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277341 (or 277333 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 45067953420 in words is "forty-five billion, sixty-seven million, nine hundred fifty-three thousand, four hundred twenty".