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5165199648 = 253278093167
BaseRepresentation
bin1001100111101111…
…01011000100100000
3111022222020022212200
410303313223010200
541034242342043
62212312053200
7241666321050
oct46367530440
914288208780
105165199648
112210690a44
121001994200
1364414cc6b
1436ddc5560
152036d97d3
hex133deb120

5165199648 has 144 divisors (see below), whose sum is σ = 16812956160. Its totient is φ = 1473481728.

The previous prime is 5165199617. The next prime is 5165199659. The reversal of 5165199648 is 8469915615.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5165199594 and 5165199603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1629361 + ... + 1632527.

It is an arithmetic number, because the mean of its divisors is an integer number (116756640).

Almost surely, 25165199648 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 5165199648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406478080).

5165199648 is an abundant number, since it is smaller than the sum of its proper divisors (11647756512).

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

5165199648 is a wasteful number, since it uses less digits than its factorization.

5165199648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999 (or 3988 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 5165199648 is about 71869.3234140965. The cubic root of 5165199648 is about 1728.6047587460.

The spelling of 5165199648 in words is "five billion, one hundred sixty-five million, one hundred ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 809 1008 1618 2016 2427 3167 3236 4854 5663 6334 6472 7281 9501 9708 11326 12668 12944 14562 16989 19002 19416 22169 22652 25336 25888 28503 29124 33978 38004 38832 44338 45304 50672 50967 57006 58248 66507 67956 76008 77664 88676 90608 101344 101934 114012 116496 133014 135912 152016 177352 181216 199521 203868 228024 232992 266028 271824 304032 354704 399042 407736 456048 532056 543648 709408 798084 815472 912096 1064112 1596168 1630944 2128224 2562103 3192336 5124206 6384672 7686309 10248412 15372618 17934721 20496824 23058927 30745236 35869442 40993648 46117854 53804163 61490472 71738884 81987296 92235708 107608326 122980944 143477768 161412489 184471416 215216652 245961888 286955536 322824978 368942832 430433304 573911072 645649956 737885664 860866608 1291299912 1721733216 2582599824 5165199648