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57250041840 = 24355171071619
BaseRepresentation
bin110101010100010111…
…100100111111110000
312110202212001110100000
4311110113210333300
51414222002314330
642144511030000
74064465216655
oct652427447760
9173685043300
1057250041840
1122309179872
12b118b0b300
135524b01404
142ab1577c2c
151751100560
hexd545e4ff0

57250041840 has 480 divisors, whose sum is σ = 213218853120. Its totient is φ = 14225559552.

The previous prime is 57250041677. The next prime is 57250041841. The reversal of 57250041840 is 4814005275.

57250041840 is a `hidden beast` number, since 5 + 72 + 500 + 4 + 1 + 84 + 0 = 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 = 57250041795 and 57250041804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57250041841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35360551 + ... + 35362169.

It is an arithmetic number, because the mean of its divisors is an integer number (444205944).

Almost surely, 257250041840 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 57250041840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106609426560).

57250041840 is an abundant number, since it is smaller than the sum of its proper divisors (155968811280).

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

57250041840 is a wasteful number, since it uses less digits than its factorization.

57250041840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 57250041840 in words is "fifty-seven billion, two hundred fifty million, forty-one thousand, eight hundred forty".