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83097606523932 = 2233711132337698867
BaseRepresentation
bin10010111001001110101011…
…010100011000110000011100
3101220020001110002000110102000
4102321032223110120300130
541342432344232231212
6452422302522402300
723334414104130540
oct2271165324306034
9356201402013360
1083097606523932
1124528551594a20
1293a0a58360390
13374a0bc35b510
141673d34aa9a20
1599185d1ce1dc
hex4b93ab518c1c

83097606523932 has 768 divisors, whose sum is σ = 301950377164800. Its totient is φ = 19050057861120.

The previous prime is 83097606523903. The next prime is 83097606523963. The reversal of 83097606523932 is 23932560679038.

83097606523932 is a `hidden beast` number, since 8 + 3 + 0 + 9 + 76 + 0 + 6 + 523 + 9 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 83097606523932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9371553763 + ... + 9371562629.

It is an arithmetic number, because the mean of its divisors is an integer number (393164553600).

Almost surely, 283097606523932 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 83097606523932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150975188582400).

83097606523932 is an abundant number, since it is smaller than the sum of its proper divisors (218852770640868).

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

83097606523932 is a wasteful number, since it uses less digits than its factorization.

83097606523932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12703 (or 12695 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 83097606523932 in words is "eighty-three trillion, ninety-seven billion, six hundred six million, five hundred twenty-three thousand, nine hundred thirty-two".