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75082916258334 = 23237112737111499
BaseRepresentation
bin10001000100100110011010…
…100011010110001000011110
3100211211212010112022020120200
4101010212122203112020132
534320124303030231314
6423404340543124330
721546363441663525
oct2104463243261036
9324755115266520
1075082916258334
1121a18538902816
1285076a48a36a6
1332b839a146b0a
1414780653d14bc
158a312b737709
hex44499a8d621e

75082916258334 has 24 divisors (see below), whose sum is σ = 167076399243000. Its totient is φ = 24351216083568.

The previous prime is 75082916258333. The next prime is 75082916258359. The reversal of 75082916258334 is 43385261928057.

75082916258334 is a `hidden beast` number, since 7 + 5 + 0 + 8 + 2 + 9 + 16 + 2 + 583 + 34 = 666.

75082916258334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×750829162583342 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75082916258333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56368555084 + ... + 56368556415.

It is an arithmetic number, because the mean of its divisors is an integer number (6961516635125).

It is a 1-persistent number, because it is pandigital, but 2⋅75082916258334 = 150165832516668 is not.

Almost surely, 275082916258334 is an apocalyptic number.

75082916258334 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

75082916258334 is an abundant number, since it is smaller than the sum of its proper divisors (91993482984666).

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

75082916258334 is a wasteful number, since it uses less digits than its factorization.

75082916258334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112737111544 (or 112737111541 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 75082916258334 in words is "seventy-five trillion, eighty-two billion, nine hundred sixteen million, two hundred fifty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 112737111499 225474222998 338211334497 676422668994 1014634003491 2029268006982 4171273125463 8342546250926 12513819376389 25027638752778 37541458129167 75082916258334