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51056166656 = 2811159711353
BaseRepresentation
bin101111100011001011…
…110100011100000000
311212210012011222220102
4233203023310130000
51314030334313111
635242130501532
73455135153555
oct574313643400
9155705158812
1051056166656
111a71a969760
129a8a7348a8
134a78814101
142684adca2c
1514dc46d13b
hexbe32f4700

51056166656 has 72 divisors (see below), whose sum is σ = 111257119344. Its totient is φ = 23190773760.

The previous prime is 51056166641. The next prime is 51056166661. The reversal of 51056166656 is 65666165015.

It is a self number, because there is not a number n which added to its sum of digits gives 51056166656.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4491476 + ... + 4502828.

Almost surely, 251056166656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51056166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55628559672).

51056166656 is an abundant number, since it is smaller than the sum of its proper divisors (60200952688).

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

51056166656 is a wasteful number, since it uses less digits than its factorization.

51056166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12977 (or 12963 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 47.

It can be divided in two parts, 51056 and 166656, that added together give a palindrome (217712).

The spelling of 51056166656 in words is "fifty-one billion, fifty-six million, one hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 1597 2816 3194 6388 11353 12776 17567 22706 25552 35134 45412 51104 70268 90824 102208 124883 140536 181648 204416 249766 281072 363296 408832 499532 562144 726592 999064 1124288 1453184 1998128 2248576 2906368 3996256 4497152 7992512 15985024 18130741 31970048 36261482 72522964 145045928 199438151 290091856 398876302 580183712 797752604 1160367424 1595505208 2320734848 3191010416 4641469696 6382020832 12764041664 25528083328 51056166656