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42357597696 = 293289179577
BaseRepresentation
bin100111011100101101…
…011010011000000000
311001022222021220112200
4213130231122120000
51143222021111241
631243034153200
73026442432321
oct473455323000
9131288256480
1042357597696
1116a6683a097
128261582800
133cc064309b
14209b750448
15117d9844b6
hex9dcb5a600

42357597696 has 240 divisors, whose sum is σ = 124526516400. Its totient is φ = 13858504704.

The previous prime is 42357597679. The next prime is 42357597703. The reversal of 42357597696 is 69679575324.

42357597696 is a `hidden beast` number, since 4 + 2 + 35 + 7 + 597 + 6 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73409760 + ... + 73410336.

It is an arithmetic number, because the mean of its divisors is an integer number (518860485).

Almost surely, 242357597696 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 42357597696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62263258200).

42357597696 is an abundant number, since it is smaller than the sum of its proper divisors (82168918704).

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

42357597696 is a wasteful number, since it uses less digits than its factorization.

42357597696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 850 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 63.

The spelling of 42357597696 in words is "forty-two billion, three hundred fifty-seven million, five hundred ninety-seven thousand, six hundred ninety-six".