Search a number
-
+
5110115616 = 253238945613
BaseRepresentation
bin1001100001001011…
…00010110100100000
3111012010120202210100
410300211202310200
540431142144431
62203023302400
7240430160154
oct46045426440
914163522710
105110115616
112192588551
12ba744aa00
13635904768
14366967064
151ed9584e6
hex130962d20

5110115616 has 72 divisors (see below), whose sum is σ = 14569567740. Its totient is φ = 1698955776.

The previous prime is 5110115603. The next prime is 5110115617. The reversal of 5110115616 is 6165110115.

It can be written as a sum of positive squares in 2 ways, for example, as 4147875216 + 962240400 = 64404^2 + 31020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×51101156162 = 52226563217774118912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5110115616.

It is not an unprimeable number, because it can be changed into a prime (5110115617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89226 + ... + 134838.

Almost surely, 25110115616 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 5110115616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284783870).

5110115616 is an abundant number, since it is smaller than the sum of its proper divisors (9459452124).

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

5110115616 is a wasteful number, since it uses less digits than its factorization.

5110115616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46018 (or 46007 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The square root of 5110115616 is about 71485.0726795462. The cubic root of 5110115616 is about 1722.4379094054.

The spelling of 5110115616 in words is "five billion, one hundred ten million, one hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 389 778 1167 1556 2334 3112 3501 4668 6224 7002 9336 12448 14004 18672 28008 37344 45613 56016 91226 112032 136839 182452 273678 364904 410517 547356 729808 821034 1094712 1459616 1642068 2189424 3284136 4378848 6568272 13136544 17743457 35486914 53230371 70973828 106460742 141947656 159691113 212921484 283895312 319382226 425842968 567790624 638764452 851685936 1277528904 1703371872 2555057808 5110115616