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82006704000 = 2732531371617
BaseRepresentation
bin100110001011111111…
…0101111111110000000
321211200012002012101100
41030113332233332000
52320422204012000
6101401240134400
75632126324404
oct1142776577600
9254605065340
1082006704000
1131862712541
1213a87a67400
13796bab8730
143d7d49b104
1521ee757a00
hex1317faff80

82006704000 has 768 divisors, whose sum is σ = 322149260160. Its totient is φ = 19869696000.

The previous prime is 82006703939. The next prime is 82006704001. The reversal of 82006704000 is 40760028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82006704001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132911692 + ... + 132912308.

Almost surely, 282006704000 is an apocalyptic number.

82006704000 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 82006704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161074630080).

82006704000 is an abundant number, since it is smaller than the sum of its proper divisors (240142556160).

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

82006704000 is a wasteful number, since it uses less digits than its factorization.

82006704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 82006704000 in words is "eighty-two billion, six million, seven hundred four thousand".