Search a number
-
+
10425962594304 = 218341721699
BaseRepresentation
bin1001011110110111101111…
…0011000000000000000000
31100220201020021000001210000
42113231323303000000000
52331304332411004204
634101342053440000
72124152033556135
oct227557363000000
940821207001700
1010425962594304
11335a698097824
121204755940000
135a82195714aa
1428089544a58c
1513130aca2039
hex97b7bcc0000

10425962594304 has 570 divisors, whose sum is σ = 33108671621300. Its totient is φ = 3268965040128.

The previous prime is 10425962594237. The next prime is 10425962594323. The reversal of 10425962594304 is 40349526952401.

10425962594304 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 5 + 9 + 625 + 9 + 4 + 3 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6136528047 + ... + 6136529745.

Almost surely, 210425962594304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10425962594304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16554335810650).

10425962594304 is an abundant number, since it is smaller than the sum of its proper divisors (22682709026996).

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

10425962594304 is an frugal number, since it uses more digits than its factorization.

10425962594304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 10425962594304 in words is "ten trillion, four hundred twenty-five billion, nine hundred sixty-two million, five hundred ninety-four thousand, three hundred four".