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42530803524 = 2232112173197191
BaseRepresentation
bin100111100111000010…
…001000111101000100
311001210001012200021100
4213213002020331010
51144100341203044
631312142420100
73033644602506
oct474702107504
9131701180240
1042530803524
1117045591200
1282ab591630
13401a4a8641
1420b6759d76
15118dc99869
hex9e7088f44

42530803524 has 432 divisors, whose sum is σ = 131172507648. Its totient is φ = 11556864000.

The previous prime is 42530803519. The next prime is 42530803537.

42530803524 is a `hidden beast` number, since 4 + 2 + 53 + 0 + 80 + 3 + 524 = 666.

42530803524 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222674269 + ... + 222674459.

It is an arithmetic number, because the mean of its divisors is an integer number (303640064).

Almost surely, 242530803524 is an apocalyptic number.

42530803524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42530803524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65586253824).

42530803524 is an abundant number, since it is smaller than the sum of its proper divisors (88641704124).

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

42530803524 is a wasteful number, since it uses less digits than its factorization.

42530803524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42530803524 in words is "forty-two billion, five hundred thirty million, eight hundred three thousand, five hundred twenty-four".