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325740828672 = 2113471729569
BaseRepresentation
bin1001011110101111010…
…10101001100000000000
31011010210102211121110000
410233113222221200000
520314104123004142
6405350540240000
732351106234150
oct4572752514000
91133712747400
10325740828672
11116167229926
1253169b40000
132494299b28c
1411aa1a50760
15871741b14c
hex4bd7aa9800

325740828672 has 960 divisors, whose sum is σ = 1220106888000. Its totient is φ = 84425048064.

The previous prime is 325740828659. The next prime is 325740828719. The reversal of 325740828672 is 276828047523.

325740828672 is a `hidden beast` number, since 3 + 2 + 574 + 0 + 8 + 2 + 8 + 67 + 2 = 666.

It is a super-2 number, since 2×3257408286722 (a number of 24 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 572479204 + ... + 572479772.

It is an arithmetic number, because the mean of its divisors is an integer number (1270944675).

Almost surely, 2325740828672 is an apocalyptic number.

325740828672 is a gapful number since it is divisible by the number (32) 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 325740828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610053444000).

325740828672 is an abundant number, since it is smaller than the sum of its proper divisors (894366059328).

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

325740828672 is a wasteful number, since it uses less digits than its factorization.

325740828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 325740828672 in words is "three hundred twenty-five billion, seven hundred forty million, eight hundred twenty-eight thousand, six hundred seventy-two".