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42501452544 = 28336148937
BaseRepresentation
bin100111100101010010…
…001011001100000000
311001200222222111022000
4213211102023030000
51144020332440134
631305213344000
73033140246235
oct474522131400
9131628874260
1042501452544
111702aa643a1
1282a1798000
13401439cbb5
1420b28b978c
15118b3ece99
hex9e548b300

42501452544 has 72 divisors (see below), whose sum is σ = 125684292720. Its totient is φ = 14167148544.

The previous prime is 42501452533. The next prime is 42501452563. The reversal of 42501452544 is 44525410524.

42501452544 is a `hidden beast` number, since 4 + 2 + 50 + 14 + 52 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 42501452499 and 42501452508.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3067557 + ... + 3081380.

Almost surely, 242501452544 is an apocalyptic number.

It is an amenable number.

42501452544 is an abundant number, since it is smaller than the sum of its proper divisors (83182840176).

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

42501452544 is an equidigital number, since it uses as much as digits as its factorization.

42501452544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148962 (or 6148942 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 42501452544 in words is "forty-two billion, five hundred one million, four hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 6148937 12297874 18446811 24595748 36893622 49191496 55340433 73787244 98382992 110680866 147574488 166021299 196765984 221361732 295148976 332042598 393531968 442723464 590297952 664085196 787063936 885446928 1180595904 1328170392 1574127872 1770893856 2361191808 2656340784 3541787712 4722383616 5312681568 7083575424 10625363136 14167150848 21250726272 42501452544