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5192006112 = 253244940151
BaseRepresentation
bin1001101010111011…
…11011100111100000
3111101211200020102200
410311131323213200
541113123143422
62215110413200
7242443216026
oct46535734740
914354606380
105192006112
112224830047
12100a961200
13649877487
143737a2716
15205c322ac
hex13577b9e0

5192006112 has 72 divisors (see below), whose sum is σ = 14798019600. Its totient is φ = 1726771200.

The previous prime is 5192006111. The next prime is 5192006123. The reversal of 5192006112 is 2116002915.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5192006111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109237 + ... + 149387.

It is an arithmetic number, because the mean of its divisors is an integer number (205528050).

Almost surely, 25192006112 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 5192006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399009800).

5192006112 is an abundant number, since it is smaller than the sum of its proper divisors (9606013488).

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

5192006112 is a wasteful number, since it uses less digits than its factorization.

5192006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40616 (or 40605 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 5192006112 is about 72055.5765503268. The cubic root of 5192006112 is about 1731.5899837849.

The spelling of 5192006112 in words is "five billion, one hundred ninety-two million, six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 449 898 1347 1796 2694 3592 4041 5388 7184 8082 10776 14368 16164 21552 32328 40151 43104 64656 80302 120453 129312 160604 240906 321208 361359 481812 642416 722718 963624 1284832 1445436 1927248 2890872 3854496 5781744 11563488 18027799 36055598 54083397 72111196 108166794 144222392 162250191 216333588 288444784 324500382 432667176 576889568 649000764 865334352 1298001528 1730668704 2596003056 5192006112