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32116221384 = 23313467220421
BaseRepresentation
bin11101111010010001…
…101010010111001000
310001220020100002100220
4131322101222113020
51011233223041014
622430510030040
72214604243332
oct357221522710
9101806302326
1032116221384
1112690851525
1262837a8320
13304a9424c0
1417a9518452
15c7e7e76a9
hex77a46a5c8

32116221384 has 64 divisors (see below), whose sum is σ = 86652296640. Its totient is φ = 9860709120.

The previous prime is 32116221383. The next prime is 32116221421. The reversal of 32116221384 is 48312261123.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32116221383) 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, 35494 + ... + 255914.

It is an arithmetic number, because the mean of its divisors is an integer number (1353942135).

Almost surely, 232116221384 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 32116221384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43326148320).

32116221384 is an abundant number, since it is smaller than the sum of its proper divisors (54536075256).

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

32116221384 is a wasteful number, since it uses less digits than its factorization.

32116221384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220910 (or 220906 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The spelling of 32116221384 in words is "thirty-two billion, one hundred sixteen million, two hundred twenty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 467 934 1401 1868 2802 3736 5604 6071 11208 12142 18213 24284 36426 48568 72852 145704 220421 440842 661263 881684 1322526 1763368 2645052 2865473 5290104 5730946 8596419 11461892 17192838 22923784 34385676 68771352 102936607 205873214 308809821 411746428 617619642 823492856 1235239284 1338175891 2470478568 2676351782 4014527673 5352703564 8029055346 10705407128 16058110692 32116221384