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325016616960 = 223335741
BaseRepresentation
bin1001011101011001000…
…00000000000000000000
31011001220222002211202000
410232230200000000000
520311113223220320
6405151030024000
732324133442560
oct4565440000000
91131828084660
10325016616960
11115925452952
1252ba74a8000
1324858932739
1411a337b2da0
1586c3a64c90
hex4bac800000

325016616960 has 768 divisors, whose sum is σ = 1352914617600. Its totient is φ = 72477573120.

The previous prime is 325016616941. The next prime is 325016616983. The reversal of 325016616960 is 69616610523.

325016616960 is a `hidden beast` number, since 3 + 25 + 0 + 1 + 6 + 616 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7927234540 + ... + 7927234580.

It is an arithmetic number, because the mean of its divisors is an integer number (1761607575).

Almost surely, 2325016616960 is an apocalyptic number.

325016616960 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 325016616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676457308800).

325016616960 is an abundant number, since it is smaller than the sum of its proper divisors (1027898000640).

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

325016616960 is an frugal number, since it uses more digits than its factorization.

325016616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 325016616960 in words is "three hundred twenty-five billion, sixteen million, six hundred sixteen thousand, nine hundred sixty".