Search a number
-
+
325628699400 = 23365219414761
BaseRepresentation
bin1001011110100001111…
…10111010001100001000
31011010111121211212000000
410233100332322030020
520313341421340100
6405331453043000
732345245163514
oct4572076721410
91133447755000
10325628699400
11116109a03504
1253138486460
132492569b9b4
1411a90bc3144
15870c66c900
hex4bd0fba308

325628699400 has 1344 divisors, whose sum is σ = 1270531180800. Its totient is φ = 77262336000.

The previous prime is 325628699329. The next prime is 325628699401. The reversal of 325628699400 is 4996826523.

It is a happy number.

325628699400 is a `hidden beast` number, since 3 + 2 + 5 + 628 + 6 + 9 + 9 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (325628699401) by changing a digit.

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 335 ways as a sum of consecutive naturals, for example, 5338175370 + ... + 5338175430.

It is an arithmetic number, because the mean of its divisors is an integer number (945335700).

Almost surely, 2325628699400 is an apocalyptic number.

325628699400 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 325628699400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635265590400).

325628699400 is an abundant number, since it is smaller than the sum of its proper divisors (944902481400).

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

325628699400 is a wasteful number, since it uses less digits than its factorization.

325628699400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 325628699400 in words is "three hundred twenty-five billion, six hundred twenty-eight million, six hundred ninety-nine thousand, four hundred".