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1831608212814 = 2321514969135617
BaseRepresentation
bin11010101001110100010…
…110110101110101001110
320111002200220222202002100
4122221310112311311032
5220002113200302224
63521232412335530
7246220646634012
oct32516426656516
96432626882070
101831608212814
116468650a4816
12256b89a745a6
1310394885a303
1464916648542
153299e954ac9
hex1aa745b5d4e

1831608212814 has 48 divisors (see below), whose sum is σ = 3995599214880. Its totient is φ = 606366259200.

The previous prime is 1831608212773. The next prime is 1831608212851. The reversal of 1831608212814 is 4182128061381.

1831608212814 is a `hidden beast` number, since 1 + 8 + 3 + 1 + 608 + 2 + 1 + 28 + 14 = 666.

It is a super-2 number, since 2×18316082128142 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1831608212814.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13437934 + ... + 13573550.

It is an arithmetic number, because the mean of its divisors is an integer number (83241650310).

Almost surely, 21831608212814 is an apocalyptic number.

1831608212814 is an abundant number, since it is smaller than the sum of its proper divisors (2163991002066).

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

1831608212814 is a wasteful number, since it uses less digits than its factorization.

1831608212814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140745 (or 140742 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1831608212814 in words is "one trillion, eight hundred thirty-one billion, six hundred eight million, two hundred twelve thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 151 302 453 906 1359 2718 4969 9938 14907 29814 44721 89442 135617 271234 406851 750319 813702 1220553 1500638 2250957 2441106 4501914 6752871 13505742 20478167 40956334 61434501 122869002 184303503 368607006 673880873 1347761746 2021642619 4043285238 6064927857 12129855714 101756011823 203512023646 305268035469 610536070938 915804106407 1831608212814