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32142036640 = 2557473731637
BaseRepresentation
bin11101111011110100…
…001000111010100000
310001222000220122020111
4131323310020322200
51011311330133030
622433231221104
72215336542430
oct357364107240
9101860818214
1032142036640
11126a438394a
126290377794
1330530b07bc
1417acb182c0
15c81be662a
hex77bd08ea0

32142036640 has 192 divisors, whose sum is σ = 88921857024. Its totient is φ = 10750169088.

The previous prime is 32142036637. The next prime is 32142036659. The reversal of 32142036640 is 4663024123.

It is a super-2 number, since 2×321420366402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19633902 + ... + 19635538.

It is an arithmetic number, because the mean of its divisors is an integer number (463134672).

Almost surely, 232142036640 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 32142036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44460928512).

32142036640 is an abundant number, since it is smaller than the sum of its proper divisors (56779820384).

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

32142036640 is a wasteful number, since it uses less digits than its factorization.

32142036640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 32142036640 in words is "thirty-two billion, one hundred forty-two million, thirty-six thousand, six hundred forty".