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82813095432504 = 23321150181881007
BaseRepresentation
bin10010110101000101101101…
…001000101101000100111000
3101212012212002000012111211100
4102311011231020231010320
541323302204412320004
6452043451050331400
723305022463555063
oct2265055510550470
9355185060174740
1082813095432504
1124428922490a08
129355896129b60
13372931a449488
141664264a978da
1598925a70b739
hex4b516d22d138

82813095432504 has 24 divisors (see below), whose sum is σ = 224285466796560. Its totient is φ = 27604365144144.

The previous prime is 82813095432493. The next prime is 82813095432521. The reversal of 82813095432504 is 40523459031828.

82813095432504 is a `hidden beast` number, since 8 + 2 + 8 + 1 + 3 + 0 + 95 + 43 + 2 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×828130954325042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 575090940432 + ... + 575090940575.

It is an arithmetic number, because the mean of its divisors is an integer number (9345227783190).

Almost surely, 282813095432504 is an apocalyptic number.

It is an amenable number.

82813095432504 is an abundant number, since it is smaller than the sum of its proper divisors (141472371364056).

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

82813095432504 is a wasteful number, since it uses less digits than its factorization.

82813095432504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150181881019 (or 1150181881012 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 82813095432504 in words is "eighty-two trillion, eight hundred thirteen billion, ninety-five million, four hundred thirty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1150181881007 2300363762014 3450545643021 4600727524028 6901091286042 9201455048056 10351636929063 13802182572084 20703273858126 27604365144168 41406547716252 82813095432504