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327900446720 = 2145711227229
BaseRepresentation
bin1001100010110000110…
…00111100000000000000
31011100100221112120110122
410301120120330000000
520333020003243340
6410345124315412
732455451544530
oct4613030740000
91140327476418
10327900446720
11117075287930
1253671242b68
1324bc8231292
1411c287b94c0
1587e1d0cdb5
hex4c5863c000

327900446720 has 480 divisors, whose sum is σ = 989741652480. Its totient is φ = 101308170240.

The previous prime is 327900446659. The next prime is 327900446723. The reversal of 327900446720 is 27644009723.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327900446723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1431879566 + ... + 1431879794.

It is an arithmetic number, because the mean of its divisors is an integer number (2061961776).

Almost surely, 2327900446720 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 327900446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494870826240).

327900446720 is an abundant number, since it is smaller than the sum of its proper divisors (661841205760).

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

327900446720 is a wasteful number, since it uses less digits than its factorization.

327900446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 327900446720 in words is "three hundred twenty-seven billion, nine hundred million, four hundred forty-six thousand, seven hundred twenty".