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10557295254000 = 24325311261229347
BaseRepresentation
bin1001100110100000111111…
…0101010101100111110000
31101101021020001120102211100
42121220033311111213300
52340432320041112000
634241542100244400
72136511422010545
oct231501765254760
941337201512740
1010557295254000
113400361a40900
1212260a89a0700
135b7719577751
14286d938d8bcc
15134945b07a00
hex99a0fd559f0

10557295254000 has 1440 divisors, whose sum is σ = 41493498621120. Its totient is φ = 2499171840000.

The previous prime is 10557295253993. The next prime is 10557295254001. The reversal of 10557295254000 is 45259275501.

10557295254000 is a `hidden beast` number, since 1 + 0 + 5 + 57 + 2 + 9 + 52 + 540 + 0 + 0 = 666.

It is a super-2 number, since 2×105572952540002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10557295254001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30424481827 + ... + 30424482173.

It is an arithmetic number, because the mean of its divisors is an integer number (28814929598).

Almost surely, 210557295254000 is an apocalyptic number.

10557295254000 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 10557295254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20746749310560).

10557295254000 is an abundant number, since it is smaller than the sum of its proper divisors (30936203367120).

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

10557295254000 is a wasteful number, since it uses less digits than its factorization.

10557295254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 10557295254000 in words is "ten trillion, five hundred fifty-seven billion, two hundred ninety-five million, two hundred fifty-four thousand".