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20356440976 = 245326732
BaseRepresentation
bin10010111101010101…
…101010001110010000
31221112200020100100101
4102331111222032100
5313142222102401
613203541102144
71320310615264
oct227525521620
957480210311
1020356440976
1186a6753443
123b413b7954
131bc54a7761
14db178c0a4
157e21c8101
hex4bd56a390

20356440976 has 45 divisors (see below), whose sum is σ = 40258627059. Its totient is φ = 9971340288.

The previous prime is 20356440971. The next prime is 20356441009. The reversal of 20356440976 is 67904465302.

The square root of 20356440976 is 142676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 55890576 + 20300550400 = 7476^2 + 142480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20356440971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30246976 + ... + 30247648.

Almost surely, 220356440976 is an apocalyptic number.

20356440976 is the 142676-th square number.

It is an amenable number.

20356440976 is a deficient number, since it is larger than the sum of its proper divisors (19902186083).

20356440976 is an frugal number, since it uses more digits than its factorization.

20356440976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 20356440976 in words is "twenty billion, three hundred fifty-six million, four hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 53 106 212 424 673 848 1346 2692 2809 5384 5618 10768 11236 22472 35669 44944 71338 142676 285352 452929 570704 905858 1811716 1890457 3623432 3780914 7246864 7561828 15123656 24005237 30247312 48010474 96020948 192041896 384083792 1272277561 2544555122 5089110244 10178220488 20356440976