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1025725369344 = 210313176412357
BaseRepresentation
bin11101110110100011111…
…11110000110000000000
310122001120120020120222020
432323101333300300000
5113301141143304334
62103113422241440
7134051300532564
oct16732177606000
93561516216866
101025725369344
1136600a259715
12146961426280
1375957b84790
1437906c8d6a4
151ba34e6ce49
hexeed1ff0c00

1025725369344 has 352 divisors, whose sum is σ = 3123612870336. Its totient is φ = 296453406720.

The previous prime is 1025725369303. The next prime is 1025725369349. The reversal of 1025725369344 is 4439635275201.

1025725369344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10257253693442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (1025725369349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435181414 + ... + 435183770.

Almost surely, 21025725369344 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 1025725369344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561806435168).

1025725369344 is an abundant number, since it is smaller than the sum of its proper divisors (2097887500992).

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

1025725369344 is a wasteful number, since it uses less digits than its factorization.

1025725369344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 1025725369344 in words is "one trillion, twenty-five billion, seven hundred twenty-five million, three hundred sixty-nine thousand, three hundred forty-four".