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325217382672 = 2437133117313883
BaseRepresentation
bin1001011101110000111…
…01110111000100010000
31011002102221212210112010
410232320131313010100
520312021122221142
6405223001102520
732332122066420
oct4567035670420
91132387783463
10325217382672
11115a18809126
1253042787a40
132488b3c7410
1411a52314480
1586d64c0e9c
hex4bb8777110

325217382672 has 320 divisors, whose sum is σ = 1073627283456. Its totient is φ = 82519050240.

The previous prime is 325217382653. The next prime is 325217382673. The reversal of 325217382672 is 276283712523.

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

Its product of digits (1693440) is a multiple of the sum of its prime divisors (14112).

It is not an unprimeable number, because it can be changed into a prime (325217382673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23418643 + ... + 23432525.

Almost surely, 2325217382672 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 325217382672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536813641728).

325217382672 is an abundant number, since it is smaller than the sum of its proper divisors (748409900784).

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

325217382672 is a wasteful number, since it uses less digits than its factorization.

325217382672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14118 (or 14112 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The spelling of 325217382672 in words is "three hundred twenty-five billion, two hundred seventeen million, three hundred eighty-two thousand, six hundred seventy-two".