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20344376892 = 2237432130987
BaseRepresentation
bin10010111100100111…
…101000111000111100
31221111211112102112110
4102330213220320330
5313131130030032
613202430334020
71320103231110
oct227447507074
957454472473
1020344376892
11869a963524
123b3935a310
131bc2b42548
14dadd2b740
157e10e37cc
hex4bc9e8e3c

20344376892 has 72 divisors (see below), whose sum is σ = 55543103616. Its totient is φ = 5677457184.

The previous prime is 20344376881. The next prime is 20344376893. The reversal of 20344376892 is 29867344302.

It is a super-2 number, since 2×203443768922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344376893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89823 + ... + 220809.

Almost surely, 220344376892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20344376892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27771551808).

20344376892 is an abundant number, since it is smaller than the sum of its proper divisors (35198726724).

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

20344376892 is a wasteful number, since it uses less digits than its factorization.

20344376892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131087 (or 131042 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 20344376892 in words is "twenty billion, three hundred forty-four million, three hundred seventy-six thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 1849 3612 3698 5547 7396 11094 12943 22188 25886 38829 51772 77658 130987 155316 261974 392961 523948 785922 916909 1571844 1833818 2750727 3667636 5501454 5632441 11002908 11264882 16897323 22529764 33794646 39427087 67589292 78854174 118281261 157708348 236562522 242194963 473125044 484389926 726584889 968779852 1453169778 1695364741 2906339556 3390729482 5086094223 6781458964 10172188446 20344376892