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5114833344 = 26333195483
BaseRepresentation
bin1001100001101111…
…00010100111000000
3111012110110110022000
410300313202213000
540433344131334
62203312344000
7240515236365
oct46067424700
914173413260
105114833344
11219520aaa5
12ba8b45000
13636896c0a
1436743446c
151ee08b299
hex130de29c0

5114833344 has 112 divisors (see below), whose sum is σ = 15521879040. Its totient is φ = 1649928960.

The previous prime is 5114833319. The next prime is 5114833349. The reversal of 5114833344 is 4433384115.

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

It is a junction number, because it is equal to n+sod(n) for n = 5114833299 and 5114833308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5114833349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5827 + ... + 101309.

Almost surely, 25114833344 is an apocalyptic number.

5114833344 is a gapful number since it is divisible by the number (54) 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 5114833344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760939520).

5114833344 is an abundant number, since it is smaller than the sum of its proper divisors (10407045696).

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

5114833344 is a wasteful number, since it uses less digits than its factorization.

5114833344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95535 (or 95519 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 5114833344 is about 71518.0630610198. The cubic root of 5114833344 is about 1722.9678057111.

The spelling of 5114833344 in words is "five billion, one hundred fourteen million, eight hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 13392 17856 26784 53568 95483 190966 286449 381932 572898 763864 859347 1145796 1527728 1718694 2291592 2578041 2959973 3055456 3437388 4583184 5156082 5919946 6110912 6874776 8879919 9166368 10312164 11839892 13749552 17759838 18332736 20624328 23679784 26639757 27499104 35519676 41248656 47359568 53279514 54998208 71039352 79919271 82497312 94719136 106559028 142078704 159838542 164994624 189438272 213118056 284157408 319677084 426236112 568314816 639354168 852472224 1278708336 1704944448 2557416672 5114833344