Search a number
-
+
13860502700 = 225211731011709
BaseRepresentation
bin11001110100010011…
…00111110010101100
31022202221222111020212
430322021213302230
5211341242041300
610211210401552
71000322220602
oct147211476254
938687874225
1013860502700
11597298a910
122829a302b8
1313cb7495b5
14956b63872
15561c7a935
hex33a267cac

13860502700 has 144 divisors (see below), whose sum is σ = 33610036320. Its totient is φ = 4919040000.

The previous prime is 13860502699. The next prime is 13860502723. The reversal of 13860502700 is 720506831.

It is a happy number.

It is a super-2 number, since 2×138605027002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8109446 + ... + 8111154.

It is an arithmetic number, because the mean of its divisors is an integer number (233403030).

Almost surely, 213860502700 is an apocalyptic number.

13860502700 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 13860502700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805018160).

13860502700 is an abundant number, since it is smaller than the sum of its proper divisors (19749533620).

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

13860502700 is a wasteful number, since it uses less digits than its factorization.

13860502700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 13860502700 in words is "thirteen billion, eight hundred sixty million, five hundred two thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 101 110 146 202 220 275 292 365 404 505 550 730 803 1010 1100 1111 1460 1606 1709 1825 2020 2222 2525 3212 3418 3650 4015 4444 5050 5555 6836 7300 7373 8030 8545 10100 11110 14746 16060 17090 18799 20075 22220 27775 29492 34180 36865 37598 40150 42725 55550 73730 75196 80300 81103 85450 93995 111100 124757 147460 162206 170900 172609 184325 187990 249514 324412 345218 368650 375980 405515 469975 499028 623785 690436 737300 811030 863045 939950 1247570 1372327 1622060 1726090 1879900 1898699 2027575 2495140 2744654 3118925 3452180 3797398 4055150 4315225 5489308 6237850 6861635 7594796 8110300 8630450 9493495 12475700 12600457 13723270 17260900 18986990 25200914 27446540 34308175 37973980 47467475 50401828 63002285 68616350 94934950 126004570 137232700 138605027 189869900 252009140 277210054 315011425 554420108 630022850 693025135 1260045700 1386050270 2772100540 3465125675 6930251350 13860502700