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61206562556256 = 2531349043719997
BaseRepresentation
bin11011110101010110000110…
…11010110100100101100000
322000201021211120201000201210
431322223003122310211200
531010302020003300011
6334101523501230120
715615012451435515
oct1572530332644540
9260637746630653
1061206562556256
1118558614a02907
126a462a9b62340
13281c9a594a680
1411185b066b30c
157121ca9996a6
hex37aac36b4960

61206562556256 has 48 divisors (see below), whose sum is σ = 173026244152944. Its totient is φ = 18832788478464.

The previous prime is 61206562556233. The next prime is 61206562556329. The reversal of 61206562556256 is 65265526560216.

It is a happy number.

61206562556256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 61206562556196 and 61206562556205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24521858751 + ... + 24521861246.

It is an arithmetic number, because the mean of its divisors is an integer number (3604713419853).

Almost surely, 261206562556256 is an apocalyptic number.

It is an amenable number.

61206562556256 is an abundant number, since it is smaller than the sum of its proper divisors (111819681596688).

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

61206562556256 is a wasteful number, since it uses less digits than its factorization.

61206562556256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49043720023 (or 49043720015 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 57.

The spelling of 61206562556256 in words is "sixty-one trillion, two hundred six billion, five hundred sixty-two million, five hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 49043719997 98087439994 147131159991 196174879988 294262319982 392349759976 588524639964 637568359961 784699519952 1177049279928 1275136719922 1569399039904 1912705079883 2354098559856 2550273439844 3825410159766 4708197119712 5100546879688 7650820319532 10201093759376 15301640639064 20402187518752 30603281278128 61206562556256