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168513825656 = 231123199418381
BaseRepresentation
bin1001110011110000110…
…1001110101101111000
3121002222000111022012002
42130330031032231320
510230104014410111
6205225244040132
715113633612231
oct2347415165570
9532860438162
10168513825656
1165514730410
12287aab33048
1312b77095a97
148228532088
1545b413263b
hex273c34eb78

168513825656 has 64 divisors (see below), whose sum is σ = 361482048000. Its totient is φ = 72898531200.

The previous prime is 168513825653. The next prime is 168513825671. The reversal of 168513825656 is 656528315861.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168513825653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193586 + ... + 611966.

It is an arithmetic number, because the mean of its divisors is an integer number (5648157000).

Almost surely, 2168513825656 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 168513825656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180741024000).

168513825656 is an abundant number, since it is smaller than the sum of its proper divisors (192968222344).

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

168513825656 is a wasteful number, since it uses less digits than its factorization.

168513825656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418620 (or 418616 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 56.

The spelling of 168513825656 in words is "one hundred sixty-eight billion, five hundred thirteen million, eight hundred twenty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 199 253 398 506 796 1012 1592 2024 2189 4378 4577 8756 9154 17512 18308 36616 50347 100694 201388 402776 418381 836762 1673524 3347048 4602191 9204382 9622763 18408764 19245526 36817528 38491052 76982104 83257819 105850393 166515638 211700786 333031276 423401572 666062552 846803144 915836009 1831672018 1914929837 3663344036 3829859674 7326688072 7659719348 15319438696 21064228207 42128456414 84256912828 168513825656