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2149536816 = 243272132477
BaseRepresentation
bin1000000000011111…
…0101010000110000
312112210201210011200
42000013311100300
513400240134231
6553144011200
7104160522120
oct20007652060
95483653150
102149536816
11a033a2909
124bba60b00
1328344349b
141656a2c80
15c8a9ebe6
hex801f5430

2149536816 has 60 divisors (see below), whose sum is σ = 6875109072. Its totient is φ = 614153088.

The previous prime is 2149536791. The next prime is 2149536817. The reversal of 2149536816 is 6186359412.

It is not an unprimeable number, because it can be changed into a prime (2149536817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1065231 + ... + 1067246.

Almost surely, 22149536816 is an apocalyptic number.

It is an amenable number.

2149536816 is an abundant number, since it is smaller than the sum of its proper divisors (4725572256).

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

2149536816 is a wasteful number, since it uses less digits than its factorization.

2149536816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132498 (or 2132489 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2149536816 is about 46363.0975669228. The cubic root of 2149536816 is about 1290.5701896150.

It can be divided in two parts, 21495 and 36816, that added together give a triangular number (58311 = T341).

The spelling of 2149536816 in words is "two billion, one hundred forty-nine million, five hundred thirty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2132477 4264954 6397431 8529908 12794862 14927339 17059816 19192293 25589724 29854678 34119632 38384586 44782017 51179448 59709356 76769172 89564034 102358896 119418712 134346051 153538344 179128068 238837424 268692102 307076688 358256136 537384204 716512272 1074768408 2149536816