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326228965920 = 2532511132935407
BaseRepresentation
bin1001011111101001100…
…00101111101000100000
31011012001110100112212100
410233310300233220200
520321104103402140
6405511214530400
732366154312624
oct4576460575040
91135043315770
10326228965920
11116397823640
1253285506a00
13249bcb5b9a0
1411b0a7d9184
1587451de530
hex4bf4c2fa20

326228965920 has 576 divisors, whose sum is σ = 1312588053504. Its totient is φ = 72739676160.

The previous prime is 326228965889. The next prime is 326228965921. The reversal of 326228965920 is 29569822623.

326228965920 is a `hidden beast` number, since 3 + 2 + 622 + 8 + 9 + 6 + 5 + 9 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (326228965921) 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 95 ways as a sum of consecutive naturals, for example, 60331857 + ... + 60337263.

It is an arithmetic number, because the mean of its divisors is an integer number (2278798704).

Almost surely, 2326228965920 is an apocalyptic number.

326228965920 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 326228965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656294026752).

326228965920 is an abundant number, since it is smaller than the sum of its proper divisors (986359087584).

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

326228965920 is a wasteful number, since it uses less digits than its factorization.

326228965920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 326228965920 in words is "three hundred twenty-six billion, two hundred twenty-eight million, nine hundred sixty-five thousand, nine hundred twenty".