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5162073672 = 2337198091999
BaseRepresentation
bin1001100111010111…
…01111111001001000
3111022202100111211210
410303223233321020
541032442324142
62212121053120
7241630621320
oct46353577110
914282314753
105162073672
112209946398
1210009271a0
136435c7182
1436d810280
152032bd49c
hex133aefe48

5162073672 has 128 divisors (see below), whose sum is σ = 15552000000. Its totient is φ = 1394827776.

The previous prime is 5162073667. The next prime is 5162073737. The reversal of 5162073672 is 2763702615.

It is a self number, because there is not a number n which added to its sum of digits gives 5162073672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2581329 + ... + 2583327.

It is an arithmetic number, because the mean of its divisors is an integer number (121500000).

Almost surely, 25162073672 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 5162073672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776000000).

5162073672 is an abundant number, since it is smaller than the sum of its proper divisors (10389926328).

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

5162073672 is a wasteful number, since it uses less digits than its factorization.

5162073672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 5162073672 is about 71847.5724850882. The cubic root of 5162073672 is about 1728.2559714899.

The spelling of 5162073672 in words is "five billion, one hundred sixty-two million, seventy-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 809 1064 1596 1618 1999 2427 3192 3236 3998 4854 5663 5997 6472 7996 9708 11326 11994 13993 15371 15992 16989 19416 22652 23988 27986 30742 33978 37981 41979 45304 46113 47976 55972 61484 67956 75962 83958 92226 107597 111944 113943 122968 135912 151924 167916 184452 215194 227886 265867 303848 322791 335832 368904 430388 455772 531734 645582 797601 860776 911544 1063468 1291164 1595202 1617191 2126936 2582328 3190404 3234382 4851573 6380808 6468764 9703146 11320337 12937528 19406292 22640674 30726629 33961011 38812584 45281348 61453258 67922022 90562696 92179887 122906516 135844044 184359774 215086403 245813032 271688088 368719548 430172806 645259209 737439096 860345612 1290518418 1720691224 2581036836 5162073672