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145077036516 = 22324029917681
BaseRepresentation
bin1000011100011101000…
…0111110010111100100
3111212110200001001112200
42013013100332113210
54334104210132031
6150351504214500
713324100315016
oct2070720762744
9455420031480
10145077036516
1156588228895
122414a00a430
13108b0684109
147043a241b6
153b917e38e6
hex21c743e5e4

145077036516 has 18 divisors (see below), whose sum is σ = 366722509062. Its totient is φ = 48359012160.

The previous prime is 145077036509. The next prime is 145077036529. The reversal of 145077036516 is 615630770541.

145077036516 is a `hidden beast` number, since 1 + 4 + 507 + 70 + 3 + 65 + 16 = 666.

145077036516 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 only one way, i.e., 110525662116 + 34551374400 = 332454^2 + 185880^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2014958805 + ... + 2014958876.

Almost surely, 2145077036516 is an apocalyptic number.

It is an amenable number.

145077036516 is an abundant number, since it is smaller than the sum of its proper divisors (221645472546).

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

145077036516 is a wasteful number, since it uses less digits than its factorization.

145077036516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029917691 (or 4029917686 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 145077036516 in words is "one hundred forty-five billion, seventy-seven million, thirty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 4029917681 8059835362 12089753043 16119670724 24179506086 36269259129 48359012172 72538518258 145077036516