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326196097920 = 273457112171923
BaseRepresentation
bin1001011111100101100…
…11010111001110000000
31011011222011111200110000
410233302303113032000
520321022200113140
6405504042240000
732365305040560
oct4576263271600
91134864450400
10326196097920
11116380214400
12532764b6000
13249b60c1474
1411b062c0da0
15874239aa30
hex4bf2cd7380

326196097920 has 3840 divisors, whose sum is σ = 1701892684800. Its totient is φ = 57808650240.

The previous prime is 326196097907. The next prime is 326196097991. The reversal of 326196097920 is 29790691623.

326196097920 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 9 + 609 + 7 + 9 + 20 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14182439029 + ... + 14182439051.

It is an arithmetic number, because the mean of its divisors is an integer number (443201220).

Almost surely, 2326196097920 is an apocalyptic number.

326196097920 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 326196097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850946342400).

326196097920 is an abundant number, since it is smaller than the sum of its proper divisors (1375696586880).

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

326196097920 is a wasteful number, since it uses less digits than its factorization.

326196097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 326196097920 in words is "three hundred twenty-six billion, one hundred ninety-six million, ninety-seven thousand, nine hundred twenty".