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57252771792 = 2432401991493
BaseRepresentation
bin110101010100100001…
…111111011111010000
312110210001012011010100
4311110201333133100
51414223202144132
642145045332400
74064530350006
oct652441773720
9173701164110
1057252771792
112230a773927
12b119a07100
135525548b78
142ab1a88a76
15175148e37c
hexd5487f7d0

57252771792 has 60 divisors (see below), whose sum is σ = 160627976964. Its totient is φ = 19036646400.

The previous prime is 57252771791. The next prime is 57252771799. The reversal of 57252771792 is 29717725275.

57252771792 is a `hidden beast` number, since 572 + 52 + 7 + 7 + 17 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51891017616 + 5361754176 = 227796^2 + 73224^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57252771791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438003 + ... + 553490.

Almost surely, 257252771792 is an apocalyptic number.

It is an amenable number.

57252771792 is an abundant number, since it is smaller than the sum of its proper divisors (103375205172).

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

57252771792 is a wasteful number, since it uses less digits than its factorization.

57252771792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991908 (or 991899 counting only the distinct ones).

The product of its digits is 4321800, while the sum is 54.

The spelling of 57252771792 in words is "fifty-seven billion, two hundred fifty-two million, seven hundred seventy-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 401 802 1203 1604 2406 3208 3609 4812 6416 7218 9624 14436 19248 28872 57744 991493 1982986 2974479 3965972 5948958 7931944 8923437 11897916 15863888 17846874 23795832 35693748 47591664 71387496 142774992 397588693 795177386 1192766079 1590354772 2385532158 3180709544 3578298237 4771064316 6361419088 7156596474 9542128632 14313192948 19084257264 28626385896 57252771792