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45027872100 = 22325250030969
BaseRepresentation
bin101001111011110111…
…101100110101100100
311022020001212220101200
4221323313230311210
51214204113401400
632404023322500
73152555412021
oct517367546544
9138201786350
1045027872100
1118107072842
1288878b0430
13432791c703
142272246548
1512880e6b00
hexa7bdecd64

45027872100 has 54 divisors (see below), whose sum is σ = 141137366370. Its totient is φ = 12007432320.

The previous prime is 45027872039. The next prime is 45027872101. The reversal of 45027872100 is 127872054.

45027872100 is a `hidden beast` number, since 4 + 502 + 78 + 72 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8888341284 + 36139530816 = 94278^2 + 190104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45027872101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25014585 + ... + 25016384.

Almost surely, 245027872100 is an apocalyptic number.

It is an amenable number.

45027872100 is an abundant number, since it is smaller than the sum of its proper divisors (96109494270).

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

45027872100 is a wasteful number, since it uses less digits than its factorization.

45027872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50030989 (or 50030979 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 45027872100 in words is "forty-five billion, twenty-seven million, eight hundred seventy-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 50030969 100061938 150092907 200123876 250154845 300185814 450278721 500309690 600371628 750464535 900557442 1000619380 1250774225 1500929070 1801114884 2251393605 2501548450 3001858140 3752322675 4502787210 5003096900 7504645350 9005574420 11256968025 15009290700 22513936050 45027872100