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168357330144 = 25333783107593
BaseRepresentation
bin1001110011001011100…
…0001111110011100000
3121002120010000111201000
42130302320033303200
510224243434031034
6205201533512000
715110023460133
oct2346270176340
9532503014630
10168357330144
1165444361a83
1228766642600
1312b508314a3
14821183621a
1545a551d599
hex2732e0fce0

168357330144 has 384 divisors, whose sum is σ = 516028423680. Its totient is φ = 53350244352.

The previous prime is 168357330139. The next prime is 168357330187. The reversal of 168357330144 is 441033753861.

168357330144 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 573 + 30 + 1 + 44 = 666.

168357330144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1683573301442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 168357330144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283907512 + ... + 283908104.

It is an arithmetic number, because the mean of its divisors is an integer number (1343824020).

Almost surely, 2168357330144 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 168357330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258014211840).

168357330144 is an abundant number, since it is smaller than the sum of its proper divisors (347671093536).

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

168357330144 is a wasteful number, since it uses less digits than its factorization.

168357330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 168357 and 330144, that added together give a triangular number (498501 = T998).

The spelling of 168357330144 in words is "one hundred sixty-eight billion, three hundred fifty-seven million, three hundred thirty thousand, one hundred forty-four".