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2138105536 = 2674772557
BaseRepresentation
bin111111101110000…
…1110011011000000
312112000020000101221
41333130032123000
513334323334121
6552055004424
7103661411560
oct17734163300
95460200357
102138105536
119a79a5376
124b8069714
13280c70308
14163d68da0
15c7a92b41
hex7f70e6c0

2138105536 has 28 divisors (see below), whose sum is σ = 4848918928. Its totient is φ = 916330752.

The previous prime is 2138105527. The next prime is 2138105537. The reversal of 2138105536 is 6355018312.

It is a tau number, because it is divible by the number of its divisors (28).

It is not an unprimeable number, because it can be changed into a prime (2138105537) 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 3 ways as a sum of consecutive naturals, for example, 2385831 + ... + 2386726.

It is an arithmetic number, because the mean of its divisors is an integer number (173175676).

Almost surely, 22138105536 is an apocalyptic number.

It is an amenable number.

2138105536 is an abundant number, since it is smaller than the sum of its proper divisors (2710813392).

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

2138105536 is an equidigital number, since it uses as much as digits as its factorization.

2138105536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772576 (or 4772566 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 2138105536 is about 46239.6532858974. The cubic root of 2138105536 is about 1288.2783627362.

The spelling of 2138105536 in words is "two billion, one hundred thirty-eight million, one hundred five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 4772557 9545114 19090228 33407899 38180456 66815798 76360912 133631596 152721824 267263192 305443648 534526384 1069052768 2138105536