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5121715318928 = 24132310009106963
BaseRepresentation
bin100101010000111111000…
…0001011011000010010000
3200010122001010221222010022
41022201332001123002100
51132403233110201203
614520514502123012
71036013610621305
oct112417601330220
920118033858108
105121715318928
1116a511a85812a
126a8758120468
132b1c8b75c740
14139c6c8410ac
158d3630a4a38
hex4a87e05b090

5121715318928 has 80 divisors (see below), whose sum is σ = 11152511610240. Its totient is φ = 2260844669952.

The previous prime is 5121715318817. The next prime is 5121715318939. The reversal of 5121715318928 is 8298135171215.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5121715318928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47829575 + ... + 47936537.

It is an arithmetic number, because the mean of its divisors is an integer number (139406395128).

Almost surely, 25121715318928 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 5121715318928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576255805120).

5121715318928 is an abundant number, since it is smaller than the sum of its proper divisors (6030796291312).

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

5121715318928 is a wasteful number, since it uses less digits than its factorization.

5121715318928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117016 (or 117010 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 53.

The spelling of 5121715318928 in words is "five trillion, one hundred twenty-one billion, seven hundred fifteen million, three hundred eighteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 2392 4784 10009 20018 40036 80072 106963 130117 160144 213926 230207 260234 427852 460414 520468 855704 920828 1040936 1390519 1711408 1841656 2081872 2460149 2781038 2992691 3683312 4920298 5562076 5985382 9840596 11124152 11970764 19681192 22248304 23941528 31981937 39362384 47883056 63963874 127927748 255855496 511710992 1070592667 2141185334 4282370668 8564741336 13917704671 17129482672 24623631341 27835409342 49247262682 55670818684 98494525364 111341637368 196989050728 222683274736 320107207433 393978101456 640214414866 1280428829732 2560857659464 5121715318928