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42506210520 = 23325118072807
BaseRepresentation
bin100111100101100100…
…010100110011011000
311001201022221020000100
4213211210110303120
51144023042214040
631305503335400
73033225554004
oct474544246330
9131638836010
1042506210520
1117032714104
1282a32b1560
134015377777
1420b3397704
15118ba3cb30
hex9e5914cd8

42506210520 has 48 divisors (see below), whose sum is σ = 138145185360. Its totient is φ = 11334989376.

The previous prime is 42506210501. The next prime is 42506210521. The reversal of 42506210520 is 2501260524.

42506210520 is a `hidden beast` number, since 425 + 0 + 6 + 210 + 5 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42506210521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59036044 + ... + 59036763.

It is an arithmetic number, because the mean of its divisors is an integer number (2878024695).

Almost surely, 242506210520 is an apocalyptic number.

42506210520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42506210520 is an abundant number, since it is smaller than the sum of its proper divisors (95638974840).

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

42506210520 is a wasteful number, since it uses less digits than its factorization.

42506210520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118072824 (or 118072817 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 42506210520 in words is "forty-two billion, five hundred six million, two hundred ten thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 118072807 236145614 354218421 472291228 590364035 708436842 944582456 1062655263 1180728070 1416873684 1771092105 2125310526 2361456140 2833747368 3542184210 4250621052 4722912280 5313276315 7084368420 8501242104 10626552630 14168736840 21253105260 42506210520