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13872760580 = 22571714294079
BaseRepresentation
bin11001110101110000…
…11000011100000100
31022210211001020220102
430322320120130010
5211402411314310
610212325223232
71000531343060
oct147270303404
938724036812
1013872760580
1159798a2398
122831b61b18
13140114ba93
14958634aa0
15562d9c8a5
hex33ae18704

13872760580 has 96 divisors (see below), whose sum is σ = 35286451200. Its totient is φ = 4472358912.

The previous prime is 13872760579. The next prime is 13872760589. The reversal of 13872760580 is 8506727831.

It is a happy number.

It is a super-2 number, since 2×138727605802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13872760589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3398981 + ... + 3403059.

It is an arithmetic number, because the mean of its divisors is an integer number (367567200).

Almost surely, 213872760580 is an apocalyptic number.

13872760580 is a gapful number since it is divisible by the number (10) 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 13872760580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17643225600).

13872760580 is an abundant number, since it is smaller than the sum of its proper divisors (21413690620).

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

13872760580 is a wasteful number, since it uses less digits than its factorization.

13872760580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 13872760580 in words is "thirteen billion, eight hundred seventy-two million, seven hundred sixty thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 1429 2380 2858 4079 5716 7145 8158 10003 14290 16316 20006 20395 24293 28553 28580 40012 40790 48586 50015 57106 69343 81580 97172 100030 114212 121465 138686 142765 170051 200060 242930 277372 285530 340102 346715 485401 485860 571060 680204 693430 850255 970802 1386860 1700510 1941604 2427005 3401020 4854010 5828891 9708020 11657782 23315564 29144455 40802237 58288910 81604474 99091147 116577820 163208948 198182294 204011185 396364588 408022370 495455735 693638029 816044740 990911470 1387276058 1981822940 2774552116 3468190145 6936380290 13872760580