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45141376225 = 5211238632
BaseRepresentation
bin101010000010101000…
…101011110011100001
311022111222110111210011
4222002220223303201
51214422143014400
632423200204521
73155434236601
oct520250536341
9138458414704
1045141376225
1118165148100
1288b9909741
1343452b0a0a
142283350c01
1512930678ba
hexa82a2bce1

45141376225 has 27 divisors (see below), whose sum is σ = 61542507859. Its totient is φ = 32821593200.

The previous prime is 45141376199. The next prime is 45141376229. The reversal of 45141376225 is 52267314154.

The square root of 45141376225 is 212465.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16250895441 + 28890480784 = 127479^2 + 169972^2 .

It is not a de Polignac number, because 45141376225 - 25 = 45141376193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45141376229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11683644 + ... + 11687506.

Almost surely, 245141376225 is an apocalyptic number.

45141376225 is the 212465-th square number.

45141376225 is the 106233-rd centered octagonal number.

It is an amenable number.

45141376225 is a deficient number, since it is larger than the sum of its proper divisors (16401131634).

45141376225 is an frugal number, since it uses more digits than its factorization.

45141376225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7758 (or 3879 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The spelling of 45141376225 in words is "forty-five billion, one hundred forty-one million, three hundred seventy-six thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 3863 19315 42493 96575 212465 467423 1062325 2337115 11685575 14922769 74613845 164150459 373069225 820752295 1805655049 4103761475 9028275245 45141376225