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10425015725040 = 24355721719311093
BaseRepresentation
bin1001011110110100001101…
…0110111110101111110000
31100220121210021022010100000
42113231003112332233300
52331300413011200130
634101104111030000
72124116415402300
oct227550326765760
940817707263300
1010425015725040
11335a251662944
12120453080b300
135a80c8347717
142808057ad600
151312a2ab8260
hex97b435bebf0

10425015725040 has 2880 divisors, whose sum is σ = 48636127088640. Its totient is φ = 2054237552640.

The previous prime is 10425015724939. The next prime is 10425015725041. The reversal of 10425015725040 is 4052751052401.

10425015725040 is a `hidden beast` number, since 1 + 0 + 4 + 250 + 157 + 250 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10425015724986 and 10425015725004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10425015725041) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9537982734 + ... + 9537983826.

It is an arithmetic number, because the mean of its divisors is an integer number (16887544128).

Almost surely, 210425015725040 is an apocalyptic number.

10425015725040 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 10425015725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24318063544320).

10425015725040 is an abundant number, since it is smaller than the sum of its proper divisors (38211111363600).

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

10425015725040 is a wasteful number, since it uses less digits than its factorization.

10425015725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

Adding to 10425015725040 its reverse (4052751052401), we get a palindrome (14477766777441).

The spelling of 10425015725040 in words is "ten trillion, four hundred twenty-five billion, fifteen million, seven hundred twenty-five thousand, forty".