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72696790824 = 23372213728927
BaseRepresentation
bin100001110110100010…
…0001111111100101000
320221122100211121102020
41003231010033330220
52142340334301244
653221344304440
75152331345400
oct1035504177450
9227570747366
1072696790824
1128915496a19
121210a012120
136b17079478
143738c51800
151d5725ed19
hex10ed10ff28

72696790824 has 96 divisors (see below), whose sum is σ = 211520378880. Its totient is φ = 20760074496.

The previous prime is 72696790807. The next prime is 72696790867. The reversal of 72696790824 is 42809769627.

It is a super-2 number, since 2×726967908242 (a number of 23 digits) contains 22 as substring.

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, 2498649 + ... + 2527575.

It is an arithmetic number, because the mean of its divisors is an integer number (2203337280).

Almost surely, 272696790824 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 72696790824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105760189440).

72696790824 is an abundant number, since it is smaller than the sum of its proper divisors (138823588056).

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

72696790824 is a wasteful number, since it uses less digits than its factorization.

72696790824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31087 (or 31076 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 72696790824 in words is "seventy-two billion, six hundred ninety-six million, seven hundred ninety thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2137 4274 6411 8548 12822 14959 17096 25644 28927 29918 44877 51288 57854 59836 86781 89754 104713 115708 119672 173562 179508 202489 209426 231416 314139 347124 359016 404978 418852 607467 628278 694248 809956 837704 1214934 1256556 1417423 1619912 2429868 2513112 2834846 4252269 4859736 5669692 8504538 11339384 17009076 34018152 61816999 123633998 185450997 247267996 370901994 432718993 494535992 741803988 865437986 1298156979 1483607976 1730875972 2596313958 3029032951 3461751944 5192627916 6058065902 9087098853 10385255832 12116131804 18174197706 24232263608 36348395412 72696790824