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327980493120 = 263572389113211
BaseRepresentation
bin1001100010111010010…
…10010010100101000000
31011100120112011100111010
410301131022102211000
520333201001234440
6410401104120520
732460443123130
oct4613512224500
91140515140433
10327980493120
1111710648a985
1253694006140
1324c0b9a9807
1411c35294ac0
1587e8d70580
hex4c5d292940

327980493120 has 896 divisors, whose sum is σ = 1272915025920. Its totient is φ = 69941329920.

The previous prime is 327980493119. The next prime is 327980493149. The reversal of 327980493120 is 21394089723.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 327980493120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1554409815 + ... + 1554410025.

Almost surely, 2327980493120 is an apocalyptic number.

327980493120 is a gapful number since it is divisible by the number (30) 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 327980493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636457512960).

327980493120 is an abundant number, since it is smaller than the sum of its proper divisors (944934532800).

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

327980493120 is a wasteful number, since it uses less digits than its factorization.

327980493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 327980493120 in words is "three hundred twenty-seven billion, nine hundred eighty million, four hundred ninety-three thousand, one hundred twenty".