Search a number
-
+
82057362237 = 32171063950411
BaseRepresentation
bin100110001101011111…
…1111111101100111101
321211210201101220102100
41030122333333230331
52321023141042422
6101410250015313
75633313033144
oct1143277775475
9254721356370
1082057362237
1131889272854
1213aa0a17539
137979444616
143d860c675b
152203e127ac
hex131afffb3d

82057362237 has 24 divisors (see below), whose sum is σ = 125513781120. Its totient is φ = 51481111680.

The previous prime is 82057362217. The next prime is 82057362251. The reversal of 82057362237 is 73226375028.

82057362237 is a `hidden beast` number, since 8 + 2 + 0 + 57 + 362 + 237 = 666.

It is not a de Polignac number, because 82057362237 - 218 = 82057100093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82057362192 and 82057362201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82057362217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1602562 + ... + 1652972.

It is an arithmetic number, because the mean of its divisors is an integer number (5229740880).

Almost surely, 282057362237 is an apocalyptic number.

It is an amenable number.

82057362237 is a deficient number, since it is larger than the sum of its proper divisors (43456418883).

82057362237 is a wasteful number, since it uses less digits than its factorization.

82057362237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61073 (or 61070 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 82057362237 in words is "eighty-two billion, fifty-seven million, three hundred sixty-two thousand, two hundred thirty-seven".

Divisors: 1 3 9 17 51 153 10639 31917 50411 95751 151233 180863 453699 542589 856987 1627767 2570961 7712883 536322629 1608967887 4826903661 9117484693 27352454079 82057362237