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1625131706240 = 275717115118539
BaseRepresentation
bin10111101001100001011…
…001011110011110000000
312202100202020000102210002
4113221201121132132000
5203111232204044430
63242324124255132
7225261164403440
oct27514131363600
95670666012702
101625131706240
1157723a532349
12222b653a14a8
13ba331824833
145892a35a120
152c417b20845
hex17a6165e780

1625131706240 has 256 divisors, whose sum is σ = 4705612185600. Its totient is φ = 523928371200.

The previous prime is 1625131706117. The next prime is 1625131706323. The reversal of 1625131706240 is 426071315261.

It is a junction number, because it is equal to n+sod(n) for n = 1625131706194 and 1625131706203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87650891 + ... + 87669429.

It is an arithmetic number, because the mean of its divisors is an integer number (18381297600).

Almost surely, 21625131706240 is an apocalyptic number.

1625131706240 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 1625131706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352806092800).

1625131706240 is an abundant number, since it is smaller than the sum of its proper divisors (3080480479360).

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

1625131706240 is a wasteful number, since it uses less digits than its factorization.

1625131706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19733 (or 19721 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 1625131706240 in words is "one trillion, six hundred twenty-five billion, one hundred thirty-one million, seven hundred six thousand, two hundred forty".