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5424116256 = 25321311171297
BaseRepresentation
bin1010000110100110…
…10111001000100000
3112000000102122200200
411003103113020200
542102033210011
62254121345200
7251262141006
oct50323271040
915000378620
105424116256
112333854909
121074638200
13685995060
14396542a76
1521b2d0856
hex1434d7220

5424116256 has 144 divisors (see below), whose sum is σ = 16639046424. Its totient is φ = 1666179072.

The previous prime is 5424116251. The next prime is 5424116267. The reversal of 5424116256 is 6526114245.

5424116256 is a `hidden beast` number, since 5 + 4 + 24 + 1 + 1 + 625 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4132432656 + 1291683600 = 64284^2 + 35940^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5424116256.

It is not an unprimeable number, because it can be changed into a prime (5424116251) 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 23 ways as a sum of consecutive naturals, for example, 4181400 + ... + 4182696.

Almost surely, 25424116256 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 5424116256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319523212).

5424116256 is an abundant number, since it is smaller than the sum of its proper divisors (11214930168).

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

5424116256 is a wasteful number, since it uses less digits than its factorization.

5424116256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2432 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5424116256 is about 73648.5998237577. The cubic root of 5424116256 is about 1757.0184816416.

The spelling of 5424116256 in words is "five billion, four hundred twenty-four million, one hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1117 1248 1297 1872 2234 2594 3351 3744 3891 4468 5188 6702 7782 8936 10053 10376 11673 13404 14521 15564 16861 17872 20106 20752 23346 26808 29042 31128 33722 35744 40212 41504 43563 46692 50583 53616 58084 62256 67444 80424 87126 93384 101166 107232 116168 124512 130689 134888 151749 160848 174252 186768 202332 232336 261378 269776 303498 321696 348504 373536 404664 464672 522756 539552 606996 697008 809328 1045512 1213992 1394016 1448749 1618656 2091024 2427984 2897498 4182048 4346247 4855968 5794996 8692494 11589992 13038741 17384988 18833737 23179984 26077482 34769976 37667474 46359968 52154964 56501211 69539952 75334948 104309928 113002422 139079904 150669896 169503633 208619856 226004844 301339792 339007266 417239712 452009688 602679584 678014532 904019376 1356029064 1808038752 2712058128 5424116256