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82831479640 = 2357213192343173
BaseRepresentation
bin100110100100100100…
…1000001001101011000
321220210200001010212021
41031021021001031120
52324114324322030
6102015142024224
75661432650200
oct1151111011530
9256720033767
1082831479640
11321462356a8
1214078118074
137a70934660
14401ac35400
15224bd7597a
hex1349241358

82831479640 has 768 divisors, whose sum is σ = 263929881600. Its totient is φ = 23068717056.

The previous prime is 82831479623. The next prime is 82831479641. The reversal of 82831479640 is 4697413828.

It is a super-2 number, since 2×828314796402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82831479641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 478794594 + ... + 478794766.

It is an arithmetic number, because the mean of its divisors is an integer number (343658700).

Almost surely, 282831479640 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 82831479640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131964940800).

82831479640 is an abundant number, since it is smaller than the sum of its proper divisors (181098401960).

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

82831479640 is a wasteful number, since it uses less digits than its factorization.

82831479640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 82831479640 in words is "eighty-two billion, eight hundred thirty-one million, four hundred seventy-nine thousand, six hundred forty".