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325456951680 = 27325759136811
BaseRepresentation
bin1001011110001101011…
…11101111100110000000
31011010001122200011102100
410233012233233212000
520313013434423210
6405302435550400
732341061305350
oct4570657574600
91133048604370
10325456951680
11116030a67943
12530aaa5b400
13248c8c27023
1411a76076b60
1586ec5445c0
hex4bc6bef980

325456951680 has 384 divisors, whose sum is σ = 1306171526400. Its totient is φ = 73128775680.

The previous prime is 325456951669. The next prime is 325456951691. The reversal of 325456951680 is 86159654523.

325456951680 is a `hidden beast` number, since 3 + 2 + 5 + 45 + 6 + 9 + 516 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (325456951669) and next prime (325456951691).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2310475 + ... + 2447285.

It is an arithmetic number, because the mean of its divisors is an integer number (3401488350).

Almost surely, 2325456951680 is an apocalyptic number.

325456951680 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 325456951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653085763200).

325456951680 is an abundant number, since it is smaller than the sum of its proper divisors (980714574720).

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

325456951680 is a wasteful number, since it uses less digits than its factorization.

325456951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136902 (or 136887 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 325456951680 in words is "three hundred twenty-five billion, four hundred fifty-six million, nine hundred fifty-one thousand, six hundred eighty".