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82531768320 = 211345195237
BaseRepresentation
bin100110011011101000…
…1101101100000000000
321220000210002020020000
41030313101231200000
52323011113041240
6101525314120000
75651133312231
oct1146721554000
9256023066200
1082531768320
11320020390a1
1213bb3880000
137a23808091
143dcd0d9088
1522308c2430
hex133746d800

82531768320 has 480 divisors, whose sum is σ = 311448337200. Its totient is φ = 20846149632.

The previous prime is 82531768313. The next prime is 82531768373. The reversal of 82531768320 is 2386713528.

82531768320 is a `hidden beast` number, since 8 + 2 + 5 + 317 + 6 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×825317683202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15756742 + ... + 15761978.

Almost surely, 282531768320 is an apocalyptic number.

82531768320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82531768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155724168600).

82531768320 is an abundant number, since it is smaller than the sum of its proper divisors (228916568880).

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

82531768320 is a wasteful number, since it uses less digits than its factorization.

82531768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 82531768320 in words is "eighty-two billion, five hundred thirty-one million, seven hundred sixty-eight thousand, three hundred twenty".