Search a number
-
+
325631687843280 = 2435713257259122391
BaseRepresentation
bin100101000001010010000100…
…1000101001101110111010000
31120200222002022012122111111110
41022002210021011031313100
5320140122144041441110
63112321044321413320
7125406053533401660
oct11202441105156720
91520862265574443
10325631687843280
1194835694650245
123063172949a240
1310c90c23383520
145a5a92cd681a0
15279a662b5ea20
hex128290914ddd0

325631687843280 has 640 divisors, whose sum is σ = 1247781512871936. Its totient is φ = 68407905484800.

The previous prime is 325631687843261. The next prime is 325631687843323. The reversal of 325631687843280 is 82348786136523.

It is a super-2 number, since 2×3256316878432802 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 14542960885 + ... + 14542983275.

Almost surely, 2325631687843280 is an apocalyptic number.

325631687843280 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 325631687843280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623890756435968).

325631687843280 is an abundant number, since it is smaller than the sum of its proper divisors (922149825028656).

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

325631687843280 is a wasteful number, since it uses less digits than its factorization.

325631687843280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25275 (or 25269 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 66.

The spelling of 325631687843280 in words is "three hundred twenty-five trillion, six hundred thirty-one billion, six hundred eighty-seven million, eight hundred forty-three thousand, two hundred eighty".