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57017052540 = 2232572937181233
BaseRepresentation
bin110101000110011110…
…110010110101111100
312110011121122101002200
4311012132302311330
51413232331140130
642105425151500
74055635643610
oct650636626574
9173147571080
1057017052540
11221a9704528
12b072a8b590
1354b8766616
142a8c649340
15173a92b760
hexd467b2d7c

57017052540 has 576 divisors, whose sum is σ = 212067797760. Its totient is φ = 12123095040.

The previous prime is 57017052493. The next prime is 57017052541. The reversal of 57017052540 is 4525071075.

57017052540 is a `hidden beast` number, since 57 + 0 + 17 + 0 + 52 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57017052495 and 57017052504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57017052541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 244708264 + ... + 244708496.

It is an arithmetic number, because the mean of its divisors is an integer number (368173260).

Almost surely, 257017052540 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 57017052540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106033898880).

57017052540 is an abundant number, since it is smaller than the sum of its proper divisors (155050745220).

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

57017052540 is a wasteful number, since it uses less digits than its factorization.

57017052540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 57017052540 in words is "fifty-seven billion, seventeen million, fifty-two thousand, five hundred forty".