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45136982952 = 23322921617329
BaseRepresentation
bin101010000010010111…
…111011001110101000
311022111200012022100100
4222002113323032220
51214420031423302
632422522105400
73155352011325
oct520227731650
9138450168310
1045136982952
11181627173a6
1288b834b260
134344403149
142282929b4c
15129299ad1c
hexa825fb3a8

45136982952 has 48 divisors (see below), whose sum is σ = 126461380500. Its totient is φ = 14526844416.

The previous prime is 45136982899. The next prime is 45136982953. The reversal of 45136982952 is 25928963154.

45136982952 is a `hidden beast` number, since 451 + 3 + 69 + 82 + 9 + 52 = 666.

45136982952 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 43770497796 + 1366485156 = 209214^2 + 36966^2 .

It is a Smith number, since the sum of its digits (54) 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 (45136982953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10806577 + ... + 10810752.

Almost surely, 245136982952 is an apocalyptic number.

It is an amenable number.

45136982952 is an abundant number, since it is smaller than the sum of its proper divisors (81324397548).

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

45136982952 is a wasteful number, since it uses less digits than its factorization.

45136982952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21617370 (or 21617363 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 45136982952 in words is "forty-five billion, one hundred thirty-six million, nine hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 21617329 43234658 64851987 86469316 129703974 172938632 194555961 259407948 389111922 518815896 626902541 778223844 1253805082 1556447688 1880707623 2507610164 3761415246 5015220328 5642122869 7522830492 11284245738 15045660984 22568491476 45136982952