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42035199696 = 24337101229601
BaseRepresentation
bin100111001001011111…
…100011111011010000
311000111111122101122000
4213021133203323100
51142042002342241
631151040114000
73015446205420
oct471137437320
9130444571560
1042035199696
1116910857766
128191605900
133c6b902539
14206a9ca480
1511604edeb6
hex9c97e3ed0

42035199696 has 320 divisors, whose sum is σ = 140099366400. Its totient is φ = 11819520000.

The previous prime is 42035199653. The next prime is 42035199707. The reversal of 42035199696 is 69699153024.

42035199696 is a `hidden beast` number, since 420 + 35 + 19 + 96 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69941796 + ... + 69942396.

It is an arithmetic number, because the mean of its divisors is an integer number (437810520).

Almost surely, 242035199696 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 42035199696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70049683200).

42035199696 is an abundant number, since it is smaller than the sum of its proper divisors (98064166704).

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

42035199696 is a wasteful number, since it uses less digits than its factorization.

42035199696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 42035199696 in words is "forty-two billion, thirty-five million, one hundred ninety-nine thousand, six hundred ninety-six".