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5814013821 = 3711217134593
BaseRepresentation
bin1010110101000101…
…01100111101111101
3120000012002111121020
411122202230331331
543401341420241
62400530254353
7264035205420
oct53242547575
916005074536
105814013821
11251394a700
1211631273b9
137186aa285
143d22379b7
1524064ab66
hex15a8acf7d

5814013821 has 48 divisors (see below), whose sum is σ = 10310977152. Its totient is φ = 2842583040.

The previous prime is 5814013819. The next prime is 5814013861. The reversal of 5814013821 is 1283104185.

It is not a de Polignac number, because 5814013821 - 21 = 5814013819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5814013811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24100 + ... + 110493.

It is an arithmetic number, because the mean of its divisors is an integer number (214812024).

Almost surely, 25814013821 is an apocalyptic number.

5814013821 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5814013821 is a deficient number, since it is larger than the sum of its proper divisors (4496963331).

5814013821 is a wasteful number, since it uses less digits than its factorization.

5814013821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134642 (or 134631 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 5814013821 is about 76249.6807927745. The cubic root of 5814013821 is about 1798.1476645230.

The spelling of 5814013821 in words is "five billion, eight hundred fourteen million, thirteen thousand, eight hundred twenty-one".

Divisors: 1 3 7 11 17 21 33 51 77 119 121 187 231 357 363 561 847 1309 2057 2541 3927 6171 14399 43197 134593 403779 942151 1480523 2288081 2826453 4441569 6864243 10363661 16016567 16285753 25168891 31090983 48049701 48857259 75506673 114000271 176182237 276857801 342000813 528546711 830573403 1938004607 5814013821