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57937452804 = 2232721125212
BaseRepresentation
bin110101111101010101…
…110101111100000100
312112112202112112220100
4311331111311330010
51422123441442204
642341024404100
74120513136400
oct657525657404
9175482475810
1057937452804
11226311aa900
12b28b176630
13560435366a
142b38996100
151791637a39
hexd7d575f04

57937452804 has 243 divisors, whose sum is σ = 187619386773. Its totient is φ = 15019804800.

The previous prime is 57937452791. The next prime is 57937452827. The reversal of 57937452804 is 40825473975.

It is a happy number.

The square root of 57937452804 is 240702.

It is a perfect power (a square), and thus also a powerful number.

57937452804 is a `hidden beast` number, since 579 + 3 + 7 + 45 + 28 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16614694404 + 41322758400 = 128898^2 + 203280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 111204064 + ... + 111204584.

Almost surely, 257937452804 is an apocalyptic number.

57937452804 is the 240702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57937452804

57937452804 is an abundant number, since it is smaller than the sum of its proper divisors (129681933969).

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

57937452804 is a wasteful number, since it uses less digits than its factorization.

57937452804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 57937452804 in words is "fifty-seven billion, nine hundred thirty-seven million, four hundred fifty-two thousand, eight hundred four".