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56654756546112 = 2632937104972201
BaseRepresentation
bin11001110000110111101101…
…01000111000011001000000
321102121010211101122121202200
430320123312220320121000
524411212420133433422
6320254500313313200
714635112452641414
oct1470336650703100
9242533741577680
1056654756546112
11170631690a162a
1264300a3405800
13257c69ca4b8ca
14ddc1679b8d44
15683ac0bc22ac
hex3386f6a38640

56654756546112 has 84 divisors (see below), whose sum is σ = 162563940960876. Its totient is φ = 18864764006400.

The previous prime is 56654756546071. The next prime is 56654756546117. The reversal of 56654756546112 is 21164565745665.

It is a happy number.

56654756546112 is a `hidden beast` number, since 5 + 6 + 6 + 5 + 4 + 7 + 5 + 6 + 5 + 4 + 611 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1828077060096 + 54826679486016 = 1352064^2 + 7404504^2 .

It is a super-2 number, since 2×566547565461122 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56654756546112.

It is not an unprimeable number, because it can be changed into a prime (56654756546117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51946389 + ... + 53025812.

It is an arithmetic number, because the mean of its divisors is an integer number (1935285011439).

Almost surely, 256654756546112 is an apocalyptic number.

It is an amenable number.

56654756546112 is an abundant number, since it is smaller than the sum of its proper divisors (105909184414764).

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

56654756546112 is a wasteful number, since it uses less digits than its factorization.

56654756546112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104973156 (or 104973143 counting only the distinct ones).

The product of its digits is 181440000, while the sum is 63.

The spelling of 56654756546112 in words is "fifty-six trillion, six hundred fifty-four billion, seven hundred fifty-six million, five hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 937 1874 2811 3748 5622 7496 8433 11244 14992 16866 22488 29984 33732 44976 59968 67464 89952 134928 179904 269856 539712 104972201 209944402 314916603 419888804 629833206 839777608 944749809 1259666412 1679555216 1889499618 2519332824 3359110432 3778999236 5038665648 6718220864 7557998472 10077331296 15115996944 20154662592 30231993888 60463987776 98358952337 196717904674 295076857011 393435809348 590153714022 786871618696 885230571033 1180307428044 1573743237392 1770461142066 2360614856088 3147486474784 3540922284132 4721229712176 6294972949568 7081844568264 9442459424352 14163689136528 18884918848704 28327378273056 56654756546112