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32042032032 = 25315712831657
BaseRepresentation
bin11101110101110110…
…101001101110100000
310001201001201212201010
4131311312221232200
51011110230011112
622415255540520
72213013531003
oct356566515640
9101631655633
1032042032032
1112652989a0a
12626298a740
133038467b8a
14179d72553a
15c7804063c
hex775da9ba0

32042032032 has 96 divisors (see below), whose sum is σ = 84763167552. Its totient is φ = 10597976064.

The previous prime is 32042032031. The next prime is 32042032039. The reversal of 32042032032 is 23023024023.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (32042032031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19336548 + ... + 19338204.

It is an arithmetic number, because the mean of its divisors is an integer number (882949662).

Almost surely, 232042032032 is an apocalyptic number.

32042032032 is a gapful number since it is divisible by the number (32) 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 32042032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42381583776).

32042032032 is an abundant number, since it is smaller than the sum of its proper divisors (52721135520).

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

32042032032 is a wasteful number, since it uses less digits than its factorization.

32042032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 32042032032 its reverse (23023024023), we get a palindrome (55065056055).

The spelling of 32042032032 in words is "thirty-two billion, forty-two million, thirty-two thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1283 1657 1884 2512 2566 3314 3768 3849 4971 5024 5132 6628 7536 7698 9942 10264 13256 15072 15396 19884 20528 26512 30792 39768 41056 53024 61584 79536 123168 159072 201431 260149 402862 520298 604293 780447 805724 1040596 1208586 1560894 1611448 2081192 2125931 2417172 3121788 3222896 4162384 4251862 4834344 6243576 6377793 6445792 8324768 8503724 9668688 12487152 12755586 17007448 19337376 24974304 25511172 34014896 51022344 68029792 102044688 204089376 333771167 667542334 1001313501 1335084668 2002627002 2670169336 4005254004 5340338672 8010508008 10680677344 16021016016 32042032032