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168504646032 = 243453101107227
BaseRepresentation
bin1001110011101110101…
…0001101100110010000
3121002221101012221010000
42130323222031212100
510230044142133112
6205224315210000
715113462600412
oct2347352154620
9532841187100
10168504646032
116550a530648
12287a7a46900
1312b75200758
1482272229b2
1545b341c7dc
hex273ba8d990

168504646032 has 400 divisors, whose sum is σ = 508744348992. Its totient is φ = 53814758400.

The previous prime is 168504646027. The next prime is 168504646043. The reversal of 168504646032 is 230646405861.

168504646032 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 2×1685046460322 (a number of 23 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 742311103 + ... + 742311329.

Almost surely, 2168504646032 is an apocalyptic number.

168504646032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168504646032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254372174496).

168504646032 is an abundant number, since it is smaller than the sum of its proper divisors (340239702960).

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

168504646032 is a wasteful number, since it uses less digits than its factorization.

168504646032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 168504646032 in words is "one hundred sixty-eight billion, five hundred four million, six hundred forty-six thousand, thirty-two".