Search a number
-
+
325747408896 = 216337213172
BaseRepresentation
bin1001011110110000000…
…11110000000000000000
31011010210220012220211000
410233120003300000000
520314112314041041
6405351333252000
732351216201400
oct4573003600000
91133726186730
10325747408896
1111616aa13728
1253170194000
13249441633c0
1411aa2884800
158717cbabb6
hex4bd80f0000

325747408896 has 1224 divisors, whose sum is σ = 1284422400240. Its totient is φ = 80857792512.

The previous prime is 325747408841. The next prime is 325747408907. The reversal of 325747408896 is 698804747523.

325747408896 is a `hidden beast` number, since 32 + 57 + 474 + 0 + 8 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

It is a super-2 number, since 2×3257474088962 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19161612280 + ... + 19161612296.

Almost surely, 2325747408896 is an apocalyptic number.

325747408896 is a gapful number since it is divisible by the number (36) 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 325747408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642211200120).

325747408896 is an abundant number, since it is smaller than the sum of its proper divisors (958674991344).

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

325747408896 is an equidigital number, since it uses as much as digits as its factorization.

325747408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 325747408896 in words is "three hundred twenty-five billion, seven hundred forty-seven million, four hundred eight thousand, eight hundred ninety-six".