Search a number
-
+
798513811216 = 241122328832
BaseRepresentation
bin10111001111010110010…
…00011100111100010000
32211100002210121112020121
423213223020130330100
5101040324013424331
61410455430120024
7111455626256062
oct13475310347420
92740083545217
10798513811216
11288714258100
1210a9107b0014
135a3b80b1924
142a910c19732
1515b87ac4c11
hexb9eb21cf10

798513811216 has 135 divisors (see below), whose sum is σ = 1779721270887. Its totient is φ = 346786735680.

The previous prime is 798513811213. The next prime is 798513811223. The reversal of 798513811216 is 612118315897.

The square root of 798513811216 is 893596.

It is a perfect power (a square), and thus also a powerful number.

798513811216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (798513811213) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 904318711 + ... + 904319593.

Almost surely, 2798513811216 is an apocalyptic number.

798513811216 is the 893596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 798513811216

798513811216 is an abundant number, since it is smaller than the sum of its proper divisors (981207459671).

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

798513811216 is an equidigital number, since it uses as much as digits as its factorization.

798513811216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 919 counting only the distinct ones).

The product of its digits is 725760, while the sum is 52.

The spelling of 798513811216 in words is "seven hundred ninety-eight billion, five hundred thirteen million, eight hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 368 484 506 529 883 968 1012 1058 1766 1936 2024 2116 2783 3532 4048 4232 5566 5819 7064 8464 9713 11132 11638 14128 19426 20309 22264 23276 38852 40618 44528 46552 64009 77704 81236 93104 106843 128018 155408 162472 213686 223399 256036 324944 427372 446798 467107 512072 779689 854744 893596 934214 1024144 1559378 1709488 1787192 1868428 2457389 3118756 3574384 3736856 4914778 5138177 6237512 7473712 8576579 9829556 10276354 12475024 17153158 17932847 19659112 20552708 34306316 35865694 39318224 41105416 56519947 68612632 71731388 82210832 94342369 113039894 137225264 143462776 188684738 197261317 226079788 286925552 377369476 394522634 412455481 452159576 754738952 789045268 824910962 904319152 1509477904 1578090536 1649821924 2169874487 3156181072 3299643848 4339748974 4537010291 6599287696 8679497948 9074020582 17358995896 18148041164 34717991792 36296082328 49907113201 72592164656 99814226402 199628452804 399256905608 798513811216