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45379827648 = 2632312541433
BaseRepresentation
bin101010010000110110…
…010011011111000000
311100010121011002122100
4222100312103133000
51220414213441043
632502555110400
73164361112341
oct522066233700
9140117132570
1045379827648
11182778031a1
128965742400
13438280ba2c
1422a6ca20c8
1512a8e69cd3
hexa90d937c0

45379827648 has 84 divisors (see below), whose sum is σ = 134269041088. Its totient is φ = 14638648320.

The previous prime is 45379827643. The next prime is 45379827707. The reversal of 45379827648 is 84672897354.

45379827648 is a `hidden beast` number, since 4 + 537 + 98 + 2 + 7 + 6 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45379827641) 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, 1252861 + ... + 1288572.

Almost surely, 245379827648 is an apocalyptic number.

45379827648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45379827648 is an abundant number, since it is smaller than the sum of its proper divisors (88889213440).

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

45379827648 is a wasteful number, since it uses less digits than its factorization.

45379827648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541482 (or 2541469 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 45379827648 in words is "forty-five billion, three hundred seventy-nine million, eight hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 2541433 5082866 7624299 10165732 15248598 20331464 22872897 30497196 40662928 45745794 60994392 78784423 81325856 91491588 121988784 157568846 162651712 182983176 236353269 243977568 315137692 365966352 472706538 487955136 630275384 709059807 731932704 945413076 1260550768 1418119614 1463865408 1890826152 2521101536 2836239228 3781652304 5042203072 5672478456 7563304608 11344956912 15126609216 22689913824 45379827648