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2013199461 = 33713819373
BaseRepresentation
bin111011111111110…
…1111110001100101
312012022012010111000
41313333233301211
513110334340321
6531433503513
7100613625120
oct16777576145
95168163430
102013199461
11943442609
12482271b99
132611192b0
141515333b7
15bbb1d826
hex77fefc65

2013199461 has 32 divisors (see below), whose sum is σ = 3670795520. Its totient is φ = 1061906112.

The previous prime is 2013199429. The next prime is 2013199501. The reversal of 2013199461 is 1649913102.

It is a happy number.

2013199461 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 199 + 461 = 666.

It is not a de Polignac number, because 2013199461 - 25 = 2013199429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013199561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407230 + ... + 412143.

It is an arithmetic number, because the mean of its divisors is an integer number (114712360).

Almost surely, 22013199461 is an apocalyptic number.

2013199461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2013199461 is a deficient number, since it is larger than the sum of its proper divisors (1657596059).

2013199461 is a wasteful number, since it uses less digits than its factorization.

2013199461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819402 (or 819396 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2013199461 is about 44868.6913225692. The cubic root of 2013199461 is about 1262.6866877606.

The spelling of 2013199461 in words is "two billion, thirteen million, one hundred ninety-nine thousand, four hundred sixty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 819373 2458119 5735611 7374357 10651849 17206833 22123071 31955547 51620499 74562943 95866641 154861497 223688829 287599923 671066487 2013199461