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13116537647544 = 23359137237128517
BaseRepresentation
bin1011111011011110111010…
…0100010011000110111000
31201102221002001122102002210
42332313232210103012320
53204400132114210134
643521353150455120
72522432013303642
oct276675644230670
951387061572083
1013116537647544
1141a7768611201
12157a0a5b044a0
13741b65758006
14334bb55ad892
1517b2d06ba2e9
hexbedee9131b8

13116537647544 has 128 divisors (see below), whose sum is σ = 33605884972800. Its totient is φ = 4264752583680.

The previous prime is 13116537647519. The next prime is 13116537647569. The reversal of 13116537647544 is 44574673561131.

It is an interprime number because it is at equal distance from previous prime (13116537647519) and next prime (13116537647569).

It is a congruent number.

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, 459940774 + ... + 459969290.

It is an arithmetic number, because the mean of its divisors is an integer number (262545976350).

Almost surely, 213116537647544 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 13116537647544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16802942486400).

13116537647544 is an abundant number, since it is smaller than the sum of its proper divisors (20489347325256).

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

13116537647544 is a wasteful number, since it uses less digits than its factorization.

13116537647544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31093 (or 31089 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 57.

The spelling of 13116537647544 in words is "thirteen trillion, one hundred sixteen billion, five hundred thirty-seven million, six hundred forty-seven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 137 177 236 274 354 411 472 548 708 822 1096 1416 1644 2371 3288 4742 7113 8083 9484 14226 16166 18968 24249 28452 28517 32332 48498 56904 57034 64664 85551 96996 114068 139889 171102 193992 228136 279778 324827 342204 419667 559556 649654 684408 839334 974481 1119112 1299308 1678668 1682503 1948962 2598616 3357336 3365006 3897924 3906829 5047509 6730012 7795848 7813658 10095018 11720487 13460024 15627316 19164793 20190036 23440974 31254632 38329586 40380072 46881948 57494379 67613807 76659172 93763896 114988758 135227614 153318344 202841421 229977516 230502911 270455228 405682842 459955032 461005822 540910456 691508733 811365684 922011644 1383017466 1622731368 1844023288 2766034932 3989214613 5532069864 7978429226 9263091559 11967643839 15956858452 18526183118 23935287678 27789274677 31913716904 37052366236 47870575356 55578549354 74104732472 95741150712 111157098708 222314197416 546522401981 1093044803962 1639567205943 2186089607924 3279134411886 4372179215848 6558268823772 13116537647544