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42507019296 = 253475344203
BaseRepresentation
bin100111100101100111…
…011010010000100000
311001201101110022110000
4213211213122100200
51144023244104141
631305532540000
73033235462650
oct474547322040
9131641408400
1042507019296
1117033116815
1282a3621600
13401559b931
1420b3528360
15118bb4c5b6
hex9e59da420

42507019296 has 240 divisors, whose sum is σ = 145569783744. Its totient is φ = 11915444736.

The previous prime is 42507019273. The next prime is 42507019307. The reversal of 42507019296 is 69291070524.

42507019296 is a `hidden beast` number, since 42 + 507 + 0 + 19 + 2 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 939531 + ... + 983733.

Almost surely, 242507019296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42507019296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72784891872).

42507019296 is an abundant number, since it is smaller than the sum of its proper divisors (103062764448).

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

42507019296 is a wasteful number, since it uses less digits than its factorization.

42507019296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44285 (or 44268 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 42507019296 in words is "forty-two billion, five hundred seven million, nineteen thousand, two hundred ninety-six".