Search a number
-
+
325227374640 = 24335726745863
BaseRepresentation
bin1001011101110010000…
…11111110100000110000
31011002110122200102221000
410232321003332200300
520312031201442030
6405223555202000
732332303033500
oct4567103764060
91132418612830
10325227374640
11115a23413253
1253045ba6300
13248904b541c
1411a53795a00
1586d72e6860
hex4bb90fe830

325227374640 has 480 divisors, whose sum is σ = 1322600348160. Its totient is φ = 73226571264.

The previous prime is 325227374639. The next prime is 325227374671. The reversal of 325227374640 is 46473722523.

325227374640 is a `hidden beast` number, since 3 + 252 + 27 + 374 + 6 + 4 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 7068349 + ... + 7114211.

It is an arithmetic number, because the mean of its divisors is an integer number (2755417392).

Almost surely, 2325227374640 is an apocalyptic number.

325227374640 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 325227374640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661300174080).

325227374640 is an abundant number, since it is smaller than the sum of its proper divisors (997372973520).

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

325227374640 is a wasteful number, since it uses less digits than its factorization.

325227374640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45966 (or 45947 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 325227374640 in words is "three hundred twenty-five billion, two hundred twenty-seven million, three hundred seventy-four thousand, six hundred forty".