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57089919744 = 2834111321481
BaseRepresentation
bin110101001010110100…
…110000101100000000
312110100200202102010000
4311022310300230000
51413410004412434
642120551040000
74060512211464
oct651264605400
9173320672100
1057089919744
1122236853760
12b093370000
1354ca89a200
142a981b64a4
151742021b99
hexd4ad30b00

57089919744 has 540 divisors, whose sum is σ = 201227258232. Its totient is φ = 15958425600.

The previous prime is 57089919743. The next prime is 57089919763. The reversal of 57089919744 is 44791998075.

57089919744 is a `hidden beast` number, since 570 + 8 + 9 + 9 + 19 + 7 + 44 = 666.

It is a super-2 number, since 2×570899197442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57089919743) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38547484 + ... + 38548964.

Almost surely, 257089919744 is an apocalyptic number.

57089919744 is a gapful number since it is divisible by the number (54) 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 57089919744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100613629116).

57089919744 is an abundant number, since it is smaller than the sum of its proper divisors (144137338488).

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

57089919744 is a wasteful number, since it uses less digits than its factorization.

57089919744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 57089919744 in words is "fifty-seven billion, eighty-nine million, nine hundred nineteen thousand, seven hundred forty-four".