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527896980806112 = 253323291496147851
BaseRepresentation
bin111100000000111101001100…
…0000001001101100111100000
32120020010110101020122021022000
41320001322120001031213200
51023143031004041243422
65110424305225044000
7216123204205344021
oct17001723001154740
92506113336567260
10527896980806112
11143227941467985
124b259b7a926600
13198736193b7388
1494504c8d34c48
154106c2a3c8cac
hex1e01e9804d9e0

527896980806112 has 384 divisors, whose sum is σ = 1673199400320000. Its totient is φ = 161420310374400.

The previous prime is 527896980806071. The next prime is 527896980806131. The reversal of 527896980806112 is 211608089698725.

527896980806112 is a `hidden beast` number, since 5 + 278 + 96 + 9 + 80 + 80 + 6 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82792987 + ... + 88940837.

It is an arithmetic number, because the mean of its divisors is an integer number (4357290105000).

Almost surely, 2527896980806112 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 527896980806112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836599700160000).

527896980806112 is an abundant number, since it is smaller than the sum of its proper divisors (1145302419513888).

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

527896980806112 is a wasteful number, since it uses less digits than its factorization.

527896980806112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148071 (or 6148057 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 527896980806112 in words is "five hundred twenty-seven trillion, eight hundred ninety-six billion, nine hundred eighty million, eight hundred six thousand, one hundred twelve".