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2660362432 = 26713479719
BaseRepresentation
bin1001111010010001…
…1110100011000000
320212101221102011221
42132210132203000
520422023044212
61115552444424
7122632464460
oct23644364300
96771842157
102660362432
111145783742
12622b49714
13335218b70
141b3475ba0
15108855807
hex9e91e8c0

2660362432 has 112 divisors (see below), whose sum is σ = 6636349440. Its totient is φ = 1029952512.

The previous prime is 2660362427. The next prime is 2660362499. The reversal of 2660362432 is 2342630662.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268869 + ... + 278587.

It is an arithmetic number, because the mean of its divisors is an integer number (59253120).

Almost surely, 22660362432 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 2660362432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318174720).

2660362432 is an abundant number, since it is smaller than the sum of its proper divisors (3975987008).

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

2660362432 is a wasteful number, since it uses less digits than its factorization.

2660362432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9798 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The square root of 2660362432 is about 51578.7013407666. The cubic root of 2660362432 is about 1385.6289083818.

The spelling of 2660362432 in words is "two billion, six hundred sixty million, three hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 47 52 56 64 91 94 104 112 182 188 208 224 329 364 376 416 448 611 658 728 752 832 1222 1316 1456 1504 2444 2632 2912 3008 4277 4888 5264 5824 8554 9719 9776 10528 17108 19438 19552 21056 34216 38876 39104 68033 68432 77752 126347 136066 136864 155504 252694 272132 273728 311008 456793 505388 544264 622016 884429 913586 1010776 1088528 1768858 1827172 2021552 2177056 3197551 3537716 3654344 4043104 4354112 5938309 6395102 7075432 7308688 8086208 11876618 12790204 14150864 14617376 23753236 25580408 28301728 29234752 41568163 47506472 51160816 56603456 83136326 95012944 102321632 166272652 190025888 204643264 332545304 380051776 665090608 1330181216 2660362432