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57052021950 = 234527111131619
BaseRepresentation
bin110101001000100100…
…001100010010111110
312110021001110000010000
4311020210030102332
51413320304200300
642113114455130
74056542120340
oct651044142276
9173231400100
1057052021950
1122217419570
12b0827344a6
1354c2a8b491
142a9314d290
15173da37c00
hexd4890c4be

57052021950 has 480 divisors, whose sum is σ = 199507587840. Its totient is φ = 11742796800.

The previous prime is 57052021937. The next prime is 57052021951. The reversal of 57052021950 is 5912025075.

57052021950 is a `hidden beast` number, since 5 + 70 + 520 + 2 + 19 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57052021951) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35238241 + ... + 35239859.

It is an arithmetic number, because the mean of its divisors is an integer number (415640808).

Almost surely, 257052021950 is an apocalyptic number.

57052021950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57052021950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99753793920).

57052021950 is an abundant number, since it is smaller than the sum of its proper divisors (142455565890).

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

57052021950 is a wasteful number, since it uses less digits than its factorization.

57052021950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 57052021950 in words is "fifty-seven billion, fifty-two million, twenty-one thousand, nine hundred fifty".