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72213426714 = 2311131514991117
BaseRepresentation
bin100001101000001000…
…0010111001000011010
320220101200022011111210
41003100100113020122
52140343114123324
653101400203550
75134341666522
oct1032020271032
9226350264453
1072213426714
1128697662350
1211bb41695b6
136a6ab9a4c0
1436d098a682
151d29ad0d29
hex10d041721a

72213426714 has 128 divisors (see below), whose sum is σ = 171295488000. Its totient is φ = 20007648000.

The previous prime is 72213426709. The next prime is 72213426737. The reversal of 72213426714 is 41762431227.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 64648884 + ... + 64650000.

It is an arithmetic number, because the mean of its divisors is an integer number (1338246000).

Almost surely, 272213426714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72213426714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85647744000).

72213426714 is an abundant number, since it is smaller than the sum of its proper divisors (99082061286).

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

72213426714 is a wasteful number, since it uses less digits than its factorization.

72213426714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796.

The product of its digits is 112896, while the sum is 39.

The spelling of 72213426714 in words is "seventy-two billion, two hundred thirteen million, four hundred twenty-six thousand, seven hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 151 286 302 429 453 499 858 906 998 1117 1497 1661 1963 2234 2994 3322 3351 3926 4983 5489 5889 6487 6702 9966 10978 11778 12287 12974 14521 16467 19461 21593 24574 29042 32934 36861 38922 43186 43563 64779 71357 73722 75349 87126 129558 142714 150698 159731 168667 214071 226047 319462 337334 428142 452094 479193 506001 557383 828839 958386 979537 1012002 1114766 1657678 1672149 1855337 1959074 2192671 2486517 2938611 3344298 3710674 4385342 4973034 5566011 5877222 6131213 6578013 7245979 10774907 11132022 12262426 13156026 14491958 18393639 21549814 21737937 24119381 32324721 36787278 43475874 48238762 64649442 72358143 79705769 84164833 144716286 159411538 168329666 239117307 252494499 478234614 504988998 925813163 1094142829 1851626326 2188285658 2777439489 3282428487 5554878978 6564856974 12035571119 24071142238 36106713357 72213426714