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42070499520 = 2635729613539
BaseRepresentation
bin100111001011100110…
…001110000011000000
311000120222001210212220
4213023212032003000
51142130021441040
631154340451040
73016355226360
oct471346160300
9130528053786
1042070499520
1116929777a75
1281a13a9a80
133c760118ca
1420715789a0
1511636732d0
hex9cb98e0c0

42070499520 has 448 divisors, whose sum is σ = 160554009600. Its totient is φ = 9129738240.

The previous prime is 42070499507. The next prime is 42070499543. The reversal of 42070499520 is 2599407024.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 11885911 + ... + 11889449.

Almost surely, 242070499520 is an apocalyptic number.

42070499520 is a gapful number since it is divisible by the number (40) 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 42070499520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80277004800).

42070499520 is an abundant number, since it is smaller than the sum of its proper divisors (118483510080).

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

42070499520 is a wasteful number, since it uses less digits than its factorization.

42070499520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 42070499520 in words is "forty-two billion, seventy million, four hundred ninety-nine thousand, five hundred twenty".