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45619234720 = 255285120217
BaseRepresentation
bin101010011111000111…
…100100011110100000
311100202021122020101221
4222133013210132200
51221412011002340
632542430304424
73203326045213
oct523707443640
9140667566357
1045619234720
111838a961284
128a11958114
1343c02b2a17
1422ca9c177a
1512beeaa44a
hexa9f1e47a0

45619234720 has 24 divisors (see below), whose sum is σ = 107775442404. Its totient is φ = 18247693824.

The previous prime is 45619234709. The next prime is 45619234721. The reversal of 45619234720 is 2743291654.

45619234720 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 45507128976 + 112105744 = 213324^2 + 10588^2 .

It is a super-2 number, since 2×456192347202 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45619234721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142559949 + ... + 142560268.

Almost surely, 245619234720 is an apocalyptic number.

45619234720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45619234720 is an abundant number, since it is smaller than the sum of its proper divisors (62156207684).

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

45619234720 is a wasteful number, since it uses less digits than its factorization.

45619234720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285120232 (or 285120224 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 45619234720 in words is "forty-five billion, six hundred nineteen million, two hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 285120217 570240434 1140480868 1425601085 2280961736 2851202170 4561923472 5702404340 9123846944 11404808680 22809617360 45619234720