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5181696256 = 281124092
BaseRepresentation
bin1001101001101101…
…00110100100000000
3111101010021102222011
410310312212210000
541103003240011
62214101422304
7242256456112
oct46466464400
914333242864
105181696256
112219a29100
12100740a994
136476a7879
1437227b3b2
15204d97621
hex134da6900

5181696256 has 81 divisors (see below), whose sum is σ = 11396783433. Its totient is φ = 2349557760.

The previous prime is 5181696251. The next prime is 5181696259. The reversal of 5181696256 is 6526961815.

The square root of 5181696256 is 71984.

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

It can be written as a sum of positive squares in only one way, i.e., 4735641856 + 446054400 = 68816^2 + 21120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5181696251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12668980 + ... + 12669388.

Almost surely, 25181696256 is an apocalyptic number.

5181696256 is the 71984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5181696256

5181696256 is an abundant number, since it is smaller than the sum of its proper divisors (6215087177).

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

5181696256 is an frugal number, since it uses more digits than its factorization.

5181696256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 422 counting only the distinct ones).

The product of its digits is 777600, while the sum is 49.

The cubic root of 5181696256 is about 1730.4430749480.

Multiplying 5181696256 by its sum of digits (49), we get a square (253903116544 = 5038882).

It can be divided in two parts, 518169 and 6256, that added together give a palindrome (524425).

The spelling of 5181696256 in words is "five billion, one hundred eighty-one million, six hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 409 484 704 818 968 1408 1636 1936 2816 3272 3872 4499 6544 7744 8998 13088 15488 17996 26176 30976 35992 49489 52352 71984 98978 104704 143968 167281 197956 287936 334562 395912 575872 669124 791824 1151744 1338248 1583648 1840091 2676496 3167296 3680182 5352992 6334592 7360364 10705984 12669184 14720728 20241001 21411968 29441456 40482002 42823936 58882912 80964004 117765824 161928008 235531648 323856016 471063296 647712032 1295424064 2590848128 5181696256