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82494921327 = 37213172539321
BaseRepresentation
bin100110011010100010…
…1001001101001101111
321212221012202012122120
41030311011021221233
52322422144440302
6101521520244023
75650205155500
oct1146505115157
9255835665576
1082494921327
1131a93261435
1213ba3470613
137a18ca6720
143dc8266ba7
15222c5449bc
hex1335149a6f

82494921327 has 48 divisors (see below), whose sum is σ = 145899284832. Its totient is φ = 40954152960.

The previous prime is 82494921317. The next prime is 82494921389. The reversal of 82494921327 is 72312949428.

It is a happy number.

It is not a de Polignac number, because 82494921327 - 27 = 82494921199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 82494921327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82494921317) 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 47 ways as a sum of consecutive naturals, for example, 1237174 + ... + 1302147.

It is an arithmetic number, because the mean of its divisors is an integer number (3039568434).

Almost surely, 282494921327 is an apocalyptic number.

82494921327 is a deficient number, since it is larger than the sum of its proper divisors (63404363505).

82494921327 is a wasteful number, since it uses less digits than its factorization.

82494921327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539368 (or 2539361 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 82494921327 in words is "eighty-two billion, four hundred ninety-four million, nine hundred twenty-one thousand, three hundred twenty-seven".

Divisors: 1 3 7 13 17 21 39 49 51 91 119 147 221 273 357 637 663 833 1547 1911 2499 4641 10829 32487 2539321 7617963 17775247 33011173 43168457 53325741 99033519 124426729 129505371 231078211 302179199 373280187 561189941 693234633 906537597 1617547477 1683569823 2115254393 3928329587 4852642431 6345763179 11784988761 27498307109 82494921327