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72111188493 = 3319368320261
BaseRepresentation
bin100001100101000101…
…0010110101000001101
320220010112220221001000
41003022022112220031
52140140431012433
653043305010513
75131660663101
oct1031212265015
9226115827030
1072111188493
1128644982253
1211b85a83a39
136a52952006
1436c1175901
151d20b38113
hex10ca296a0d

72111188493 has 32 divisors (see below), whose sum is σ = 107547454080. Its totient is φ = 47752657920.

The previous prime is 72111188437. The next prime is 72111188519. The reversal of 72111188493 is 39488111127.

It is a happy number.

72111188493 is a `hidden beast` number, since 72 + 1 + 1 + 11 + 88 + 493 = 666.

It is a de Polignac number, because none of the positive numbers 2k-72111188493 is a prime.

It is a super-2 number, since 2×721111884932 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72111188423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3548983 + ... + 3569243.

It is an arithmetic number, because the mean of its divisors is an integer number (3360857940).

Almost surely, 272111188493 is an apocalyptic number.

It is an amenable number.

72111188493 is a deficient number, since it is larger than the sum of its proper divisors (35436265587).

72111188493 is a wasteful number, since it uses less digits than its factorization.

72111188493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21146 (or 21140 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The spelling of 72111188493 in words is "seventy-two billion, one hundred eleven million, one hundred eighty-eight thousand, four hundred ninety-three".

Divisors: 1 3 9 27 193 579 683 1737 2049 5211 6147 18441 20261 60783 131819 182349 395457 547047 1186371 3559113 3910373 11731119 13838263 35193357 41514789 105580071 124544367 373633101 2670784759 8012354277 24037062831 72111188493