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2135991897 = 331329223941
BaseRepresentation
bin111111101010000…
…1010011001011001
312111212020122001000
41333110022121121
513333303220042
6551541415213
7103634426424
oct17724123131
95455218030
102135991897
119a6791366
124b740a509
132806b0240
141639789bb
15c77c674c
hex7f50a659

2135991897 has 64 divisors (see below), whose sum is σ = 3544934400. Its totient is φ = 1262096640.

The previous prime is 2135991881. The next prime is 2135991929. The reversal of 2135991897 is 7981995312.

It is not a de Polignac number, because 2135991897 - 24 = 2135991881 is a prime.

It is a super-2 number, since 2×21359918972 = 9124922768099317218, which contains 22 as substring.

Its product of digits (1224720) is a multiple of the sum of its prime factors (1215).

It is not an unprimeable number, because it can be changed into a prime (2135991817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2269447 + ... + 2270387.

It is an arithmetic number, because the mean of its divisors is an integer number (55389600).

Almost surely, 22135991897 is an apocalyptic number.

2135991897 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2135991897 is a deficient number, since it is larger than the sum of its proper divisors (1408942503).

2135991897 is a wasteful number, since it uses less digits than its factorization.

2135991897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1209 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 2135991897 is about 46216.7923703063. The cubic root of 2135991897 is about 1287.8537106158.

It can be divided in two parts, 213599 and 1897, that added together give a triangular number (215496 = T656).

The spelling of 2135991897 in words is "two billion, one hundred thirty-five million, nine hundred ninety-one thousand, eight hundred ninety-seven".

Divisors: 1 3 9 13 27 29 39 87 117 223 261 351 377 669 783 941 1131 2007 2823 2899 3393 6021 6467 8469 8697 10179 12233 19401 25407 26091 27289 36699 58203 78273 81867 84071 110097 174609 209843 245601 252213 330291 354757 629529 736803 756639 1064271 1888587 2269917 2727959 3192813 5665761 6085447 8183877 9578439 18256341 24551631 54769023 73654893 79110811 164307069 237332433 711997299 2135991897