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82247748660 = 2232571124091319
BaseRepresentation
bin100110010011001011…
…0010000110000110100
321212021222122112111100
41030212112100300310
52321420410424120
6101441210410100
75641114220460
oct1144626206064
9255258575440
1082247748660
1131976789a00
1213b34730930
1379a9a13bcc
143da34c54a0
1522159bd490
hex1326590c34

82247748660 has 432 divisors, whose sum is σ = 314406892800. Its totient is φ = 17035729920.

The previous prime is 82247748659. The next prime is 82247748683. The reversal of 82247748660 is 6684774228.

It is a happy number.

82247748660 is a `hidden beast` number, since 82 + 24 + 7 + 7 + 486 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82247748597 and 82247748606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62355481 + ... + 62356799.

Almost surely, 282247748660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82247748660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157203446400).

82247748660 is an abundant number, since it is smaller than the sum of its proper divisors (232159144140).

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

82247748660 is a wasteful number, since it uses less digits than its factorization.

82247748660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 82247748660 in words is "eighty-two billion, two hundred forty-seven million, seven hundred forty-eight thousand, six hundred sixty".