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80935022053908 = 22331137596128387
BaseRepresentation
bin10010011001110000100111…
…001111010100101000010100
3101121120022102211210210002000
4102121300213033110220110
541102014411121211113
6444045011424115300
723022235203336321
oct2231604717245024
9347508384723060
1080935022053908
1123874393a83440
1290b18bb165b30
1336211a8294239
1415db3c1387b48
1595548b900373
hex499c273d4a14

80935022053908 has 576 divisors, whose sum is σ = 243091004083200. Its totient is φ = 23071133836800.

The previous prime is 80935022053811. The next prime is 80935022053909.

80935022053908 is a `hidden beast` number, since 80 + 9 + 3 + 5 + 0 + 2 + 20 + 539 + 0 + 8 = 666.

80935022053908 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80935022053909) 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, 9650052091 + ... + 9650060477.

It is an arithmetic number, because the mean of its divisors is an integer number (422032993200).

Almost surely, 280935022053908 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 80935022053908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121545502041600).

80935022053908 is an abundant number, since it is smaller than the sum of its proper divisors (162155982029292).

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

80935022053908 is a wasteful number, since it uses less digits than its factorization.

80935022053908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8629 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 80935022053908 in words is "eighty trillion, nine hundred thirty-five billion, twenty-two million, fifty-three thousand, nine hundred eight".