Search a number
-
+
325961228160 = 27335472711481
BaseRepresentation
bin1001011111001001100…
…11011001111110000000
31011011100210120001201000
410233210303121332000
520320032033300120
6405424452212000
732356423503231
oct4574463317600
91134323501630
10325961228160
1111626a685267
125320b90a000
1324979548789
1411ac3023088
15872b954990
hex4be4cd9f80

325961228160 has 512 divisors, whose sum is σ = 1184158310400. Its totient is φ = 84702412800.

The previous prime is 325961228141. The next prime is 325961228171. The reversal of 325961228160 is 61822169523.

325961228160 is a `hidden beast` number, since 3 + 2 + 5 + 9 + 612 + 28 + 1 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220094620 + ... + 220096100.

It is an arithmetic number, because the mean of its divisors is an integer number (2312809200).

Almost surely, 2325961228160 is an apocalyptic number.

325961228160 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 325961228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592079155200).

325961228160 is an abundant number, since it is smaller than the sum of its proper divisors (858197082240).

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

325961228160 is a wasteful number, since it uses less digits than its factorization.

325961228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 325961228160 in words is "three hundred twenty-five billion, nine hundred sixty-one million, two hundred twenty-eight thousand, one hundred sixty".