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32045015632 = 2472117871723
BaseRepresentation
bin11101110110000010…
…000010001001010000
310001201021100110102211
4131312002002021100
51011112011000012
622415443521504
72213051065360
oct356602021120
9101637313384
1032045015632
11126546375a3
126263989294
133038c70c16
14179dca09a0
15c7842e6a7
hex776082250

32045015632 has 80 divisors (see below), whose sum is σ = 71425126912. Its totient is φ = 13643199360.

The previous prime is 32045015609. The next prime is 32045015633. The reversal of 32045015632 is 23651054023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32045015594 and 32045015603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32045015633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18597523 + ... + 18599245.

Almost surely, 232045015632 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 32045015632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712563456).

32045015632 is an abundant number, since it is smaller than the sum of its proper divisors (39380111280).

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

32045015632 is a wasteful number, since it uses less digits than its factorization.

32045015632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 32045015632 its reverse (23651054023), we get a palindrome (55696069655).

The spelling of 32045015632 in words is "thirty-two billion, forty-five million, fifteen thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 211 422 787 844 1477 1574 1688 1723 2954 3148 3376 3446 5509 5908 6296 6892 11018 11816 12061 12592 13784 22036 23632 24122 27568 44072 48244 88144 96488 166057 192976 332114 363553 664228 727106 1162399 1328456 1356001 1454212 2324798 2544871 2656912 2712002 2908424 4649596 5089742 5424004 5816848 9299192 9492007 10179484 10848008 18598384 18984014 20358968 21696016 37968028 40717936 75936056 151872112 286116211 572232422 1144464844 2002813477 2288929688 4005626954 4577859376 8011253908 16022507816 32045015632