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45375619320 = 23325179704153
BaseRepresentation
bin101010010000100110…
…010000000011111000
311100010022020021220100
4222100212100003320
51220412124304240
632502324555400
73164310254223
oct522046200370
9140108207810
1045375619320
1118275399439
128964252b60
1343819973b5
1422a64c85ba
1512a88d7e30
hexa909900f8

45375619320 has 96 divisors (see below), whose sum is σ = 148294832400. Its totient is φ = 12032549376.

The previous prime is 45375619319. The next prime is 45375619327. The reversal of 45375619320 is 2391657354.

45375619320 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 5 + 619 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45375619327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287637 + ... + 416516.

Almost surely, 245375619320 is an apocalyptic number.

45375619320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45375619320 is an abundant number, since it is smaller than the sum of its proper divisors (102919213080).

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

45375619320 is a wasteful number, since it uses less digits than its factorization.

45375619320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704349 (or 704342 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 45375619320 in words is "forty-five billion, three hundred seventy-five million, six hundred nineteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 179 180 358 360 537 716 895 1074 1432 1611 1790 2148 2685 3222 3580 4296 5370 6444 7160 8055 10740 12888 16110 21480 32220 64440 704153 1408306 2112459 2816612 3520765 4224918 5633224 6337377 7041530 8449836 10562295 12674754 14083060 16899672 21124590 25349508 28166120 31686885 42249180 50699016 63373770 84498360 126043387 126747540 252086774 253495080 378130161 504173548 630216935 756260322 1008347096 1134390483 1260433870 1512520644 1890650805 2268780966 2520867740 3025041288 3781301610 4537561932 5041735480 5671952415 7562603220 9075123864 11343904830 15125206440 22687809660 45375619320