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5446819056 = 2437124912979
BaseRepresentation
bin1010001001010011…
…11101110011110000
3112001121011002002010
411010221331303300
542123341202211
62300252122520
7251656124640
oct50451756360
915047132063
105446819056
112345650858
121080166440
1368a5b3773
14399572520
1521d2b74a6
hex144a7dcf0

5446819056 has 80 divisors (see below), whose sum is σ = 16095200000. Its totient is φ = 1554868224.

The previous prime is 5446819039. The next prime is 5446819067. The reversal of 5446819056 is 6509186445.

It is a super-3 number, since 3×54468190563 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5446818996 and 5446819014.

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 15 ways as a sum of consecutive naturals, for example, 413175 + ... + 426153.

It is an arithmetic number, because the mean of its divisors is an integer number (201190000).

Almost surely, 25446819056 is an apocalyptic number.

5446819056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5446819056 is an abundant number, since it is smaller than the sum of its proper divisors (10648380944).

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

5446819056 is a wasteful number, since it uses less digits than its factorization.

5446819056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14246 (or 14240 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 5446819056 is about 73802.5680853993. The cubic root of 5446819056 is about 1759.4664205513.

The spelling of 5446819056 in words is "five billion, four hundred forty-six million, eight hundred nineteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1249 2498 3747 4996 7494 8743 9992 12979 14988 17486 19984 25958 26229 29976 34972 38937 51916 52458 59952 69944 77874 90853 103832 104916 139888 155748 181706 207664 209832 272559 311496 363412 419664 545118 622992 726824 1090236 1453648 2180472 4360944 16210771 32421542 48632313 64843084 97264626 113475397 129686168 194529252 226950794 259372336 340426191 389058504 453901588 680852382 778117008 907803176 1361704764 1815606352 2723409528 5446819056