Search a number
-
+
20191656968 = 237271772
BaseRepresentation
bin10010110011100001…
…000011110000001000
31221010012011110011222
4102303201003300020
5312323031010333
613135333141212
71313240152400
oct226341036010
957105143158
1020191656968
11862173380a
123ab618a808
131b9a300622
14d97935800
157d29c8298
hex4b3843c08

20191656968 has 36 divisors (see below), whose sum is σ = 44046613485. Its totient is φ = 8652361536.

The previous prime is 20191656949. The next prime is 20191656997. The reversal of 20191656968 is 86965619102.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 15119653444 + 5072003524 = 122962^2 + 71218^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=100478.

It is a super-2 number, since 2×201916569682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2809796 + ... + 2816972.

Almost surely, 220191656968 is an apocalyptic number.

20191656968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20191656968 is an abundant number, since it is smaller than the sum of its proper divisors (23854956517).

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

20191656968 is an frugal number, since it uses more digits than its factorization.

20191656968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14374 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 53.

The spelling of 20191656968 in words is "twenty billion, one hundred ninety-one million, six hundred fifty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 7177 14354 28708 50239 57416 100478 200956 351673 401912 703346 1406692 2813384 51509329 103018658 206037316 360565303 412074632 721130606 1442261212 2523957121 2884522424 5047914242 10095828484 20191656968