Search a number
-
+
325375621200 = 243252722696857
BaseRepresentation
bin1001011110000011110…
…01011111100001010000
31011002211222122010222100
410233001321133201100
520312332124334300
6405250412440400
732336053101300
oct4570171374120
91132758563870
10325375621200
11115a9a068073
1253087779100
13248b511c196
1411a69345600
1586e532b700
hex4bc1e5f850

325375621200 has 540 divisors, whose sum is σ = 1318568937660. Its totient is φ = 74084290560.

The previous prime is 325375621199. The next prime is 325375621213. The reversal of 325375621200 is 2126573523.

325375621200 is a `hidden beast` number, since 3 + 2 + 5 + 3 + 7 + 5 + 621 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 152765285904 + 172610335296 = 390852^2 + 415464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 47448172 + ... + 47455028.

It is an arithmetic number, because the mean of its divisors is an integer number (2441794329).

Almost surely, 2325375621200 is an apocalyptic number.

325375621200 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 325375621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659284468830).

325375621200 is an abundant number, since it is smaller than the sum of its proper divisors (993193316460).

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

325375621200 is a wasteful number, since it uses less digits than its factorization.

325375621200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7143 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 325375621200 in words is "three hundred twenty-five billion, three hundred seventy-five million, six hundred twenty-one thousand, two hundred".