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32013044320 = 2552923329611
BaseRepresentation
bin11101110100001000…
…000100101001100000
310001122001012011001011
4131310020010221200
51011030314404240
622412342350304
72212212246505
oct356410045140
9101561164034
1032013044320
1112638590024
12625512b394
13303245889a
14179993b4ac
15c757166ea
hex774204a60

32013044320 has 96 divisors (see below), whose sum is σ = 78577218720. Its totient is φ = 12310179840.

The previous prime is 32013044263. The next prime is 32013044359. The reversal of 32013044320 is 2344031023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32013044291 and 32013044300.

It is a congruent number.

It is an unprimeable number.

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, 1066315 + ... + 1095925.

It is an arithmetic number, because the mean of its divisors is an integer number (818512695).

Almost surely, 232013044320 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 32013044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39288609360).

32013044320 is an abundant number, since it is smaller than the sum of its proper divisors (46564174400).

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

32013044320 is a wasteful number, since it uses less digits than its factorization.

32013044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29888 (or 29880 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 32013044320 its reverse (2344031023), we get a palindrome (34357075343).

The spelling of 32013044320 in words is "thirty-two billion, thirteen million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 233 290 464 466 580 928 932 1160 1165 1864 2320 2330 3728 4640 4660 6757 7456 9320 13514 18640 27028 29611 33785 37280 54056 59222 67570 108112 118444 135140 148055 216224 236888 270280 296110 473776 540560 592220 858719 947552 1081120 1184440 1717438 2368880 3434876 4293595 4737760 6869752 6899363 8587190 13739504 13798726 17174380 27479008 27597452 34348760 34496815 55194904 68697520 68993630 110389808 137395040 137987260 200081527 220779616 275974520 400163054 551949040 800326108 1000407635 1103898080 1600652216 2000815270 3201304432 4001630540 6402608864 8003261080 16006522160 32013044320