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2013834768 = 243113814081
BaseRepresentation
bin111100000001000…
…1010111000010000
312012100101101221220
41320002022320100
513111020203033
6531455245040
7100622212251
oct17002127020
95170341856
102013834768
11943836960
12482519780
132612ac50a
1415165ab28
15bbbe6bb3
hex7808ae10

2013834768 has 40 divisors (see below), whose sum is σ = 5675354016. Its totient is φ = 610252800.

The previous prime is 2013834701. The next prime is 2013834769. The reversal of 2013834768 is 8674383102.

It is a super-2 number, since 2×20138347682 = 8111060945611227648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013834769) 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 7 ways as a sum of consecutive naturals, for example, 1906513 + ... + 1907568.

Almost surely, 22013834768 is an apocalyptic number.

It is an amenable number.

2013834768 is an abundant number, since it is smaller than the sum of its proper divisors (3661519248).

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

2013834768 is a wasteful number, since it uses less digits than its factorization.

2013834768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814103 (or 3814097 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2013834768 is about 44875.7703889304. The cubic root of 2013834768 is about 1262.8194961483.

The spelling of 2013834768 in words is "two billion, thirteen million, eight hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3814081 7628162 11442243 15256324 22884486 30512648 41954891 45768972 61025296 83909782 91537944 125864673 167819564 183075888 251729346 335639128 503458692 671278256 1006917384 2013834768