Search a number
-
+
2168661357 = 34473311721
BaseRepresentation
bin1000000101000011…
…0010010101101101
312121010201102010000
42001100302111231
513420134130412
6555105534513
7104512213602
oct20120622555
95533642100
102168661357
11a13175415
12506344439
132873ab295
141680406a9
15ca5cb4dc
hex8143256d

2168661357 has 40 divisors (see below), whose sum is σ = 3320456832. Its totient is φ = 1409918400.

The previous prime is 2168661343. The next prime is 2168661361. The reversal of 2168661357 is 7531668612.

2168661357 is a `hidden beast` number, since 21 + 6 + 8 + 6 + 613 + 5 + 7 = 666.

It is not a de Polignac number, because 2168661357 - 211 = 2168659309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168661307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1259257 + ... + 1260977.

Almost surely, 22168661357 is an apocalyptic number.

2168661357 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2168661357 is a deficient number, since it is larger than the sum of its proper divisors (1151795475).

2168661357 is a wasteful number, since it uses less digits than its factorization.

2168661357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2102 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2168661357 is about 46568.8882946544. Note that the first 3 decimals coincide. The cubic root of 2168661357 is about 1294.3863178581.

The spelling of 2168661357 in words is "two billion, one hundred sixty-eight million, six hundred sixty-one thousand, three hundred fifty-seven".

Divisors: 1 3 9 27 47 81 141 331 423 993 1269 1721 2979 3807 5163 8937 15489 15557 26811 46467 46671 80887 139401 140013 242661 420039 569651 727983 1260117 1708953 2183949 5126859 6551847 15380577 26773597 46141731 80320791 240962373 722887119 2168661357