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1255253642496 = 28337191638377
BaseRepresentation
bin10010010001000010111…
…100101000110100000000
311110000000210011222021000
4102101002330220310000
5131031224413024441
62400353333532000
7156455232625530
oct22210274506400
94400023158230
101255253642496
11444393a58547
12183339aa4000
13914a6902919
1444a7c8a34c0
15229ba8da2b6
hex12442f28d00

1255253642496 has 576 divisors, whose sum is σ = 4493503436800. Its totient is φ = 337643126784.

The previous prime is 1255253642491. The next prime is 1255253642509. The reversal of 1255253642496 is 6942463525521.

1255253642496 is a `hidden beast` number, since 1 + 2 + 5 + 525 + 3 + 6 + 4 + 24 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×12552536424962 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255253642491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149841060 + ... + 149849436.

Almost surely, 21255253642496 is an apocalyptic number.

1255253642496 is a gapful number since it is divisible by the number (16) 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 1255253642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246751718400).

1255253642496 is an abundant number, since it is smaller than the sum of its proper divisors (3238249794304).

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

1255253642496 is a wasteful number, since it uses less digits than its factorization.

1255253642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591 (or 8571 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 1255253642496 in words is "one trillion, two hundred fifty-five billion, two hundred fifty-three million, six hundred forty-two thousand, four hundred ninety-six".