Search a number
-
+
72146763964 = 221117286133713
BaseRepresentation
bin100001100110001001…
…0000100000010111100
320220020000212100102001
41003030102010002330
52140224032421324
653051015312044
75132602242502
oct1031422040274
9226200770361
1072146763964
1128662a70670
1211b9597b624
136a5a1299a2
1436c5b96672
151d23d13e44
hex10cc4840bc

72146763964 has 48 divisors (see below), whose sum is σ = 145892075616. Its totient is φ = 30853222400.

The previous prime is 72146763937. The next prime is 72146763967. The reversal of 72146763964 is 46936764127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72146763967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2123172 + ... + 2156884.

It is an arithmetic number, because the mean of its divisors is an integer number (3039418242).

Almost surely, 272146763964 is an apocalyptic number.

It is an amenable number.

72146763964 is an abundant number, since it is smaller than the sum of its proper divisors (73745311652).

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

72146763964 is a wasteful number, since it uses less digits than its factorization.

72146763964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36606 (or 36604 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 55.

The spelling of 72146763964 in words is "seventy-two billion, one hundred forty-six million, seven hundred sixty-three thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 2861 5722 11444 31471 33713 48637 62942 67426 97274 125884 134852 194548 370843 535007 573121 741686 1070014 1146242 1483372 2140028 2292484 6304331 12608662 25217324 96452893 192905786 385811572 1060981823 1639699181 2121963646 3279398362 4243927292 6558796724 18036690991 36073381982 72146763964