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57045528540 = 22325721113311459
BaseRepresentation
bin110101001000001011…
…011010111111011100
312110020121020002211100
4311020023122333130
51413312123403130
642112323353100
74056432664200
oct651013327734
9173217202740
1057045528540
1122213793a10
12b080522790
1354c1626a20
142a9233cb00
15173d1a3c60
hexd482dafdc

57045528540 has 864 divisors, whose sum is σ = 244275333120. Its totient is φ = 10581580800.

The previous prime is 57045528499. The next prime is 57045528563. The reversal of 57045528540 is 4582554075.

57045528540 is a `hidden beast` number, since 5 + 70 + 4 + 5 + 528 + 54 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39098331 + ... + 39099789.

It is an arithmetic number, because the mean of its divisors is an integer number (282726080).

Almost surely, 257045528540 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 57045528540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122137666560).

57045528540 is an abundant number, since it is smaller than the sum of its proper divisors (187229804580).

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

57045528540 is a wasteful number, since it uses less digits than its factorization.

57045528540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 45.

It can be divided in two parts, 57045 and 528540, that added together give a palindrome (585585).

The spelling of 57045528540 in words is "fifty-seven billion, forty-five million, five hundred twenty-eight thousand, five hundred forty".