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20557256436 = 22331491277483
BaseRepresentation
bin10011001001010011…
…101101011011110100
31222001200002211101000
4103021103231123310
5314100124201221
613235513203300
71325266540143
oct231123553364
958050084330
1020557256436
11879a043032
123b98700530
131c27c88c82
14dd030375a
15804b43e26
hex4c94ed6f4

20557256436 has 48 divisors (see below), whose sum is σ = 53654328000. Its totient is φ = 6806424096.

The previous prime is 20557256431. The next prime is 20557256437. The reversal of 20557256436 is 63465275502.

20557256436 is a `hidden beast` number, since 2 + 0 + 5 + 57 + 2 + 564 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20557256391 and 20557256400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20557256431) 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 15 ways as a sum of consecutive naturals, for example, 622650 + ... + 654833.

It is an arithmetic number, because the mean of its divisors is an integer number (1117798500).

Almost surely, 220557256436 is an apocalyptic number.

It is an amenable number.

20557256436 is an abundant number, since it is smaller than the sum of its proper divisors (33097071564).

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

20557256436 is a wasteful number, since it uses less digits than its factorization.

20557256436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277645 (or 1277637 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 20557256436 in words is "twenty billion, five hundred fifty-seven million, two hundred fifty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1341 1788 2682 4023 5364 8046 16092 1277483 2554966 3832449 5109932 7664898 11497347 15329796 22994694 34492041 45989388 68984082 137968164 190344967 380689934 571034901 761379868 1142069802 1713104703 2284139604 3426209406 5139314109 6852418812 10278628218 20557256436