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325980426240 = 2123357253227
BaseRepresentation
bin1001011111001011111…
…00101001000000000000
31011011102010200102112000
410233211330221000000
520320101442114430
6405430415504000
732360045622300
oct4574574510000
91134363612460
10325980426240
1111627a4a8047
1253216228000
132498050aba1
1411ac57bd600
15872d497e60
hex4be5f29000

325980426240 has 1248 divisors, whose sum is σ = 1379595058560. Its totient is φ = 72781922304.

The previous prime is 325980426217. The next prime is 325980426259. The reversal of 325980426240 is 42624089523.

325980426240 is a `hidden beast` number, since 32 + 598 + 0 + 4 + 2 + 6 + 24 + 0 = 666.

It is a super-2 number, since 2×3259804262402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1436037007 + ... + 1436037233.

Almost surely, 2325980426240 is an apocalyptic number.

325980426240 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 325980426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689797529280).

325980426240 is an abundant number, since it is smaller than the sum of its proper divisors (1053614632320).

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

325980426240 is a wasteful number, since it uses less digits than its factorization.

325980426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 325980426240 in words is "three hundred twenty-five billion, nine hundred eighty million, four hundred twenty-six thousand, two hundred forty".