Search a number
-
+
5159162460 = 2235711816691
BaseRepresentation
bin1001100111000001…
…01001001001011100
3111022112212121102010
410303200221021130
541031221144320
62211534431220
7241564104654
oct46340511134
914275777363
105159162460
112208238131
12bbb962510
13642b1806a
1436d293364
15202de5ae0
hex13382925c

5159162460 has 96 divisors (see below), whose sum is σ = 14732250624. Its totient is φ = 1348704000.

The previous prime is 5159162447. The next prime is 5159162461. The reversal of 5159162460 is 642619515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5159162461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767715 + ... + 774405.

It is an arithmetic number, because the mean of its divisors is an integer number (153460944).

Almost surely, 25159162460 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 5159162460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366125312).

5159162460 is an abundant number, since it is smaller than the sum of its proper divisors (9573088164).

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

5159162460 is a wasteful number, since it uses less digits than its factorization.

5159162460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6955 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5159162460 is about 71827.3099872186. The cubic root of 5159162460 is about 1727.9310203196.

The spelling of 5159162460 in words is "five billion, one hundred fifty-nine million, one hundred sixty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 181 213 284 355 362 426 543 710 724 852 905 1065 1086 1420 1810 2130 2172 2715 3620 4260 5430 6691 10860 12851 13382 20073 25702 26764 33455 38553 40146 51404 64255 66910 77106 80292 100365 128510 133820 154212 192765 200730 257020 385530 401460 475061 771060 950122 1211071 1425183 1900244 2375305 2422142 2850366 3633213 4750610 4844284 5700732 6055355 7125915 7266426 9501220 12110710 14251830 14532852 18166065 24221420 28503660 36332130 72664260 85986041 171972082 257958123 343944164 429930205 515916246 859860410 1031832492 1289790615 1719720820 2579581230 5159162460