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5113965888 = 26333318941
BaseRepresentation
bin1001100001101000…
…01110110101000000
3111012101211101101000
410300310032311000
540433133402023
62203242012000
7240504664353
oct46064166500
914171741330
105113965888
112194778299
12ba87a7000
13636652125
1436728a29a
151ede69243
hex130d0ed40

5113965888 has 112 divisors (see below), whose sum is σ = 15081219520. Its totient is φ = 1699315200.

The previous prime is 5113965887. The next prime is 5113965893. The reversal of 5113965888 is 8885693115.

5113965888 is a `hidden beast` number, since 51 + 1 + 3 + 9 + 6 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5113965887) 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 15 ways as a sum of consecutive naturals, for example, 567498 + ... + 576438.

Almost surely, 25113965888 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 5113965888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540609760).

5113965888 is an abundant number, since it is smaller than the sum of its proper divisors (9967253632).

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

5113965888 is a wasteful number, since it uses less digits than its factorization.

5113965888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9293 (or 9277 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The square root of 5113965888 is about 71511.9982100906. The cubic root of 5113965888 is about 1722.8703973069.

The spelling of 5113965888 in words is "five billion, one hundred thirteen million, nine hundred sixty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 331 432 576 662 864 993 1324 1728 1986 2648 2979 3972 5296 5958 7944 8937 8941 10592 11916 15888 17874 17882 21184 23832 26823 31776 35748 35764 47664 53646 63552 71496 71528 80469 95328 107292 142992 143056 160938 190656 214584 241407 285984 286112 321876 429168 482814 571968 572224 643752 858336 965628 1287504 1716672 1931256 2575008 2959471 3862512 5150016 5918942 7725024 8878413 11837884 15450048 17756826 23675768 26635239 35513652 47351536 53270478 71027304 79905717 94703072 106540956 142054608 159811434 189406144 213081912 284109216 319622868 426163824 568218432 639245736 852327648 1278491472 1704655296 2556982944 5113965888