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72182522036 = 221729210112497
BaseRepresentation
bin100001100111001101…
…0011110000010110100
320220022112011001021002
41003032122132002310
52140312211201121
653054333542432
75133515212442
oct1031632360264
9226275131232
1072182522036
1128681174199
1211ba5944a18
136a64669801
1436ca823b92
151d27028e0b
hex10ce69e0b4

72182522036 has 72 divisors (see below), whose sum is σ = 139903761816. Its totient is φ = 32469606400.

The previous prime is 72182522023. The next prime is 72182522101. The reversal of 72182522036 is 63022528127.

It can be written as a sum of positive squares in 12 ways, for example, as 578113936 + 71604408100 = 24044^2 + 267590^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5769740 + ... + 5782236.

It is an arithmetic number, because the mean of its divisors is an integer number (1943107803).

Almost surely, 272182522036 is an apocalyptic number.

It is an amenable number.

72182522036 is a deficient number, since it is larger than the sum of its proper divisors (67721239780).

72182522036 is a wasteful number, since it uses less digits than its factorization.

72182522036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12677 (or 12646 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 72182522036 in words is "seventy-two billion, one hundred eighty-two million, five hundred twenty-two thousand, thirty-six".

Divisors: 1 2 4 17 29 34 58 68 101 116 202 404 493 841 986 1682 1717 1972 2929 3364 3434 5858 6868 11716 12497 14297 24994 28594 49793 49988 57188 84941 99586 169882 199172 212449 339764 362413 424898 724826 849796 1262197 1443997 1449652 2524394 2887994 5048788 5775988 6161021 10509977 12322042 21019954 21457349 24644084 36603713 42039908 42914698 73207426 85829396 146414852 178669609 357339218 622263121 714678436 1061507677 1244526242 2123015354 2489052484 4246030708 18045630509 36091261018 72182522036