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20971313888 = 257234070519
BaseRepresentation
bin10011100001111111…
…001101101011100000
32000010112020010102012
4103201333031223200
5320422124021023
613344544012052
71341455140550
oct234177155340
960115203365
1020971313888
11899183a578
124093301028
131c929acb95
14102d2c7160
1582b182978
hex4e1fcdae0

20971313888 has 48 divisors (see below), whose sum is σ = 49237009920. Its totient is φ = 8596934016.

The previous prime is 20971313729. The next prime is 20971313893. The reversal of 20971313888 is 88831317902.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2030108 + ... + 2040411.

It is an arithmetic number, because the mean of its divisors is an integer number (1025771040).

Almost surely, 220971313888 is an apocalyptic number.

20971313888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20971313888 is an abundant number, since it is smaller than the sum of its proper divisors (28265696032).

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

20971313888 is a wasteful number, since it uses less digits than its factorization.

20971313888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070559 (or 4070551 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 20971313888 in words is "twenty billion, nine hundred seventy-one million, three hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 4070519 8141038 16282076 28493633 32564152 56987266 65128304 93621937 113974532 130256608 187243874 227949064 374487748 455898128 655353559 748975496 911796256 1310707118 1497950992 2621414236 2995901984 5242828472 10485656944 20971313888