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42295937508 = 22351117474951
BaseRepresentation
bin100111011001000010…
…001100100111100100
311001011200021020200000
4213121002030213210
51143110230000013
631232552421300
73025063352106
oct473102144744
9131150236600
1042295937508
1116a34a54960
1282449a7830
133cb0934576
14209349d576
151178354973
hex9d908c9e4

42295937508 has 288 divisors, whose sum is σ = 130820272128. Its totient is φ = 11803968000.

The previous prime is 42295937503. The next prime is 42295937581. The reversal of 42295937508 is 80573959224.

42295937508 is a `hidden beast` number, since 42 + 2 + 9 + 5 + 93 + 7 + 508 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42295937503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8540433 + ... + 8545383.

It is an arithmetic number, because the mean of its divisors is an integer number (454237056).

Almost surely, 242295937508 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 42295937508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65410136064).

42295937508 is an abundant number, since it is smaller than the sum of its proper divisors (88524334620).

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

42295937508 is a wasteful number, since it uses less digits than its factorization.

42295937508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 42295937508 in words is "forty-two billion, two hundred ninety-five million, nine hundred thirty-seven thousand, five hundred eight".