Search a number
-
+
1325992550400 = 2133452719601
BaseRepresentation
bin10011010010111011010…
…100001010000000000000
311200202121200220211020000
4103102323110022000000
5133211113043103100
62453052542120000
7164541221465610
oct23227324120000
94622550824200
101325992550400
11471394254001
12194ba0280000
139806b16008b
144826d6a0a40
152475ad06900
hex134bb50a000

1325992550400 has 1680 divisors, whose sum is σ = 5919117610560. Its totient is φ = 286654464000.

The previous prime is 1325992550383. The next prime is 1325992550429. The reversal of 1325992550400 is 40552995231.

1325992550400 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 9 + 92 + 550 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2206310100 + ... + 2206310700.

It is an arithmetic number, because the mean of its divisors is an integer number (3523284292).

Almost surely, 21325992550400 is an apocalyptic number.

1325992550400 is a gapful number since it is divisible by the number (10) 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 1325992550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959558805280).

1325992550400 is an abundant number, since it is smaller than the sum of its proper divisors (4593125060160).

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

1325992550400 is an equidigital number, since it uses as much as digits as its factorization.

1325992550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 1325992550400 in words is "one trillion, three hundred twenty-five billion, nine hundred ninety-two million, five hundred fifty thousand, four hundred".