Search a number
-
+
57000816738 = 2327343379617
BaseRepresentation
bin110101000101100000…
…110111000001100010
312110010111002111202200
4311011200313001202
51413214202113423
642104045154030
74055350643115
oct650540670142
9173114074680
1057000816738
11221a0525308
12b06955b916
1354b52a0638
142a8a42057c
1517392c0d43
hexd45837062

57000816738 has 24 divisors (see below), whose sum is σ = 125193577548. Its totient is φ = 18739994112.

The previous prime is 57000816709. The next prime is 57000816751. The reversal of 57000816738 is 83761800075.

57000816738 is a `hidden beast` number, since 570 + 0 + 0 + 8 + 1 + 6 + 73 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56995355169 + 5461569 = 238737^2 + 2337^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57000816693 and 57000816702.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21688495 + ... + 21691122.

Almost surely, 257000816738 is an apocalyptic number.

57000816738 is an abundant number, since it is smaller than the sum of its proper divisors (68192760810).

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

57000816738 is a wasteful number, since it uses less digits than its factorization.

57000816738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43379698 (or 43379695 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 57000816738 in words is "fifty-seven billion, eight hundred sixteen thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 43379617 86759234 130138851 260277702 390416553 780833106 3166712041 6333424082 9500136123 19000272246 28500408369 57000816738