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13116531160 = 235537978317
BaseRepresentation
bin11000011011100111…
…00110000111011000
31020212010001211011101
430031303212013120
5203330312444120
610005312441144
7643016450425
oct141563460730
936763054141
1013116531160
115620a37aa7
1226608491b4
131310582a55
148c6020d4c
1551b7be90a
hex30dce61d8

13116531160 has 64 divisors (see below), whose sum is σ = 30450038400. Its totient is φ = 5082395136.

The previous prime is 13116531151. The next prime is 13116531167. The reversal of 13116531160 is 6113561131.

13116531160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13116531167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128322 + ... + 206638.

It is an arithmetic number, because the mean of its divisors is an integer number (475781850).

Almost surely, 213116531160 is an apocalyptic number.

13116531160 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 13116531160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15225019200).

13116531160 is an abundant number, since it is smaller than the sum of its proper divisors (17333507240).

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

13116531160 is a wasteful number, since it uses less digits than its factorization.

13116531160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78460 (or 78456 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The spelling of 13116531160 in words is "thirteen billion, one hundred sixteen million, five hundred thirty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 79 106 158 212 265 316 395 424 530 632 790 1060 1580 2120 3160 4187 8374 16748 20935 33496 41870 78317 83740 156634 167480 313268 391585 626536 783170 1566340 3132680 4150801 6187043 8301602 12374086 16603204 20754005 24748172 30935215 33206408 41508010 49496344 61870430 83016020 123740860 166032040 247481720 327913279 655826558 1311653116 1639566395 2623306232 3279132790 6558265580 13116531160