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72940365723841 = 711947277476933
BaseRepresentation
bin10000100101011011000000…
…100101101011100011000001
3100120021000211111110221021221
4100211123000211223203001
534030023332111130331
6415044201425315041
721235524154635520
oct2045330045534301
9316230744427257
1072940365723841
1121271920999550
1282203b8a95a81
1331913297a9865
1414024926aa4b7
1586752db79711
hex4256c096b8c1

72940365723841 has 8 divisors (see below), whose sum is σ = 90938637785664. Its totient is φ = 56836648615920.

The previous prime is 72940365723793. The next prime is 72940365723857. The reversal of 72940365723841 is 14832756304927.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72940365723841 - 219 = 72940365199553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72940365723841.

It is not an unprimeable number, because it can be changed into a prime (72940365724841) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 473638738390 + ... + 473638738543.

It is an arithmetic number, because the mean of its divisors is an integer number (11367329723208).

It is a 1-persistent number, because it is pandigital, but 2⋅72940365723841 = 145880731447682 is not.

Almost surely, 272940365723841 is an apocalyptic number.

It is an amenable number.

72940365723841 is a deficient number, since it is larger than the sum of its proper divisors (17998272061823).

72940365723841 is a wasteful number, since it uses less digits than its factorization.

72940365723841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947277476951.

The product of its (nonzero) digits is 60963840, while the sum is 61.

The spelling of 72940365723841 in words is "seventy-two trillion, nine hundred forty billion, three hundred sixty-five million, seven hundred twenty-three thousand, eight hundred forty-one".

Divisors: 1 7 11 77 947277476933 6630942338531 10420052246263 72940365723841