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5441120856 = 23322311329077
BaseRepresentation
bin1010001000101000…
…01110101001011000
3112001012102120121200
411010110032221120
542120411331411
62255530034200
7251556523053
oct50424165130
915035376550
105441120856
1123424096a6
12107a278960
13689369c52
143988cba9a
1521ca3de56
hex14450ea58

5441120856 has 96 divisors (see below), whose sum is σ = 15513694560. Its totient is φ = 1719438336.

The previous prime is 5441120809. The next prime is 5441120887. The reversal of 5441120856 is 6580211445.

It is a happy number.

5441120856 is a `hidden beast` number, since 5 + 441 + 1 + 208 + 5 + 6 = 666.

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 5441120856.

It is a congruent number.

It is an unprimeable number.

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, 172590 + ... + 201666.

It is an arithmetic number, because the mean of its divisors is an integer number (161600985).

Almost surely, 25441120856 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 5441120856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756847280).

5441120856 is an abundant number, since it is smaller than the sum of its proper divisors (10072573704).

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

5441120856 is a wasteful number, since it uses less digits than its factorization.

5441120856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29225 (or 29218 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5441120856 is about 73763.9536359054. The cubic root of 5441120856 is about 1758.8526501007.

The spelling of 5441120856 in words is "five billion, four hundred forty-one million, one hundred twenty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 113 138 184 207 226 276 339 414 452 552 678 828 904 1017 1356 1656 2034 2599 2712 4068 5198 7797 8136 10396 15594 20792 23391 29077 31188 46782 58154 62376 87231 93564 116308 174462 187128 232616 261693 348924 523386 668771 697848 1046772 1337542 2006313 2093544 2675084 3285701 4012626 5350168 6018939 6571402 8025252 9857103 12037878 13142804 16050504 19714206 24075756 26285608 29571309 39428412 48151512 59142618 75571123 78856824 118285236 151142246 226713369 236570472 302284492 453426738 604568984 680140107 906853476 1360280214 1813706952 2720560428 5441120856