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45130620456 = 23321277490849
BaseRepresentation
bin101010000001111111…
…101001111000101000
311022111020020001122100
4222001333221320220
51214411414323311
632422133453400
73155243641635
oct520177517050
9138436201570
1045130620456
111815a071139
1288b61a1260
134342cb615c
142281b5118c
151292140a56
hexa81fe9e28

45130620456 has 48 divisors (see below), whose sum is σ = 122324728500. Its totient is φ = 15031729152.

The previous prime is 45130620407. The next prime is 45130620503. The reversal of 45130620456 is 65402603154.

45130620456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44450975556 + 679644900 = 210834^2 + 26070^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45130620456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153481 + ... + 337368.

Almost surely, 245130620456 is an apocalyptic number.

It is an amenable number.

45130620456 is an abundant number, since it is smaller than the sum of its proper divisors (77194108044).

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

45130620456 is a wasteful number, since it uses less digits than its factorization.

45130620456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492138 (or 492131 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45130620456 in words is "forty-five billion, one hundred thirty million, six hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1277 2554 3831 5108 7662 10216 11493 15324 22986 30648 45972 91944 490849 981698 1472547 1963396 2945094 3926792 4417641 5890188 8835282 11780376 17670564 35341128 626814173 1253628346 1880442519 2507256692 3760885038 5014513384 5641327557 7521770076 11282655114 15043540152 22565310228 45130620456