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57097394640 = 243351113316789
BaseRepresentation
bin110101001011010001…
…010001100111010000
312110101012211011202000
4311023101101213100
51413413413112030
642121415154000
74060632563256
oct651321214720
9173335734660
1057097394640
112223aa99760
12b095975900
1354cc2b6620
142a991a05d6
1517429eb860
hexd4b4519d0

57097394640 has 1280 divisors, whose sum is σ = 244784332800. Its totient is φ = 12043468800.

The previous prime is 57097394623. The next prime is 57097394713. The reversal of 57097394640 is 4649379075.

It is a happy number.

57097394640 is a `hidden beast` number, since 570 + 9 + 7 + 3 + 9 + 4 + 64 + 0 = 666.

It is a super-2 number, since 2×570973946402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 641543716 + ... + 641543804.

It is an arithmetic number, because the mean of its divisors is an integer number (191237760).

Almost surely, 257097394640 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 57097394640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122392166400).

57097394640 is an abundant number, since it is smaller than the sum of its proper divisors (187686938160).

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

57097394640 is a wasteful number, since it uses less digits than its factorization.

57097394640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 57097394640 in words is "fifty-seven billion, ninety-seven million, three hundred ninety-four thousand, six hundred forty".