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5223192576 = 21137121447
BaseRepresentation
bin1001101110101001…
…11001100000000000
3111111000100200012220
410313110321200000
541144114130301
62222143051040
7243302255460
oct46724714000
914430320186
105223192576
1122403a0988
1210192a0a80
136531764c4
1437799dba0
15208842936
hex137539800

5223192576 has 96 divisors (see below), whose sum is σ = 15914545920. Its totient is φ = 1492328448.

The previous prime is 5223192571. The next prime is 5223192631. The reversal of 5223192576 is 6752913225.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5223192571) 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 7 ways as a sum of consecutive naturals, for example, 17716 + ... + 103731.

It is an arithmetic number, because the mean of its divisors is an integer number (165776520).

Almost surely, 25223192576 is an apocalyptic number.

5223192576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5223192576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7957272960).

5223192576 is an abundant number, since it is smaller than the sum of its proper divisors (10691353344).

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

5223192576 is a wasteful number, since it uses less digits than its factorization.

5223192576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121479 (or 121459 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 5223192576 is about 72271.6581793998. The cubic root of 5223192576 is about 1735.0500724419.

The spelling of 5223192576 in words is "five billion, two hundred twenty-three million, one hundred ninety-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 121447 242894 364341 485788 728682 850129 971576 1457364 1700258 1943152 2550387 2914728 3400516 3886304 5100774 5829456 6801032 7772608 10201548 11658912 13602064 15545216 20403096 23317824 27204128 31090432 40806192 46635648 54408256 62180864 81612384 93271296 108816512 124361728 163224768 186542592 217633024 248723456 326449536 373085184 435266048 652899072 746170368 870532096 1305798144 1741064192 2611596288 5223192576