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327634478080 = 21057313113127
BaseRepresentation
bin1001100010010001000…
…10010110010000000000
31011022200102001222002021
410301020202112100000
520331443411244310
6410302503531224
732446042054000
oct4611042262000
91138612058067
10327634478080
11116a49137738
12535b8159b14
1324b850ba3a0
1411c01344000
1587c87c25da
hex4c48896400

327634478080 has 704 divisors, whose sum is σ = 1003626086400. Its totient is φ = 101964054528.

The previous prime is 327634478063. The next prime is 327634478113. The reversal of 327634478080 is 80874436723.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2579798977 + ... + 2579799103.

Almost surely, 2327634478080 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 327634478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501813043200).

327634478080 is an abundant number, since it is smaller than the sum of its proper divisors (675991608320).

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

327634478080 is a wasteful number, since it uses less digits than its factorization.

327634478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 52.

The spelling of 327634478080 in words is "three hundred twenty-seven billion, six hundred thirty-four million, four hundred seventy-eight thousand, eighty".