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13856118760 = 23511431136481
BaseRepresentation
bin11001110011110001…
…11001011111101000
31022202122201202121201
430321320321133220
5211334131300020
610210532413544
71000240031461
oct147170713750
938678652551
1013856118760
115970466120
1228284772b4
1313ca873053
14956341d68
155616b1a0a
hex339e397e8

13856118760 has 128 divisors (see below), whose sum is σ = 35114808960. Its totient is φ = 4877107200.

The previous prime is 13856118743. The next prime is 13856118839. The reversal of 13856118760 is 6781165831.

It is a self number, because there is not a number n which added to its sum of digits gives 13856118760.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2134720 + ... + 2141200.

It is an arithmetic number, because the mean of its divisors is an integer number (274334445).

Almost surely, 213856118760 is an apocalyptic number.

13856118760 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 13856118760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557404480).

13856118760 is an abundant number, since it is smaller than the sum of its proper divisors (21258690200).

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

13856118760 is a wasteful number, since it uses less digits than its factorization.

13856118760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 13856118760 in words is "thirteen billion, eight hundred fifty-six million, one hundred eighteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 113 172 215 220 226 344 430 440 452 473 565 860 904 946 1130 1243 1720 1892 2260 2365 2486 3784 4520 4730 4859 4972 6215 6481 9460 9718 9944 12430 12962 18920 19436 24295 24860 25924 32405 38872 48590 49720 51848 53449 64810 71291 97180 106898 129620 142582 194360 213796 259240 267245 278683 285164 356455 427592 534490 557366 570328 712910 732353 1068980 1114732 1393415 1425820 1464706 2137960 2229464 2786830 2851640 2929412 3065513 3661765 5573660 5858824 6131026 7323530 8055883 11147320 12262052 14647060 15327565 16111766 24524104 29294120 30655130 31491179 32223532 40279415 61310260 62982358 64447064 80558830 122620520 125964716 157455895 161117660 251929432 314911790 322235320 346402969 629823580 692805938 1259647160 1385611876 1732014845 2771223752 3464029690 6928059380 13856118760