Search a number
-
+
797425984344 = 23311291031011233
BaseRepresentation
bin10111001101010100100…
…10101110001101011000
32211020021222200012022110
423212222102232031120
5101031112022444334
61410155450152320
7111416650013133
oct13465222561530
92736258605273
10797425984344
112882061a7730
1210a6684226a0
135a2739039a2
142a84a56921a
1515b22345ae9
hexb9aa4ae358

797425984344 has 128 divisors (see below), whose sum is σ = 2271636057600. Its totient is φ = 231046287360.

The previous prime is 797425984231. The next prime is 797425984357. The reversal of 797425984344 is 443489524797.

797425984344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7974259843442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282952 + ... + 1294184.

It is an arithmetic number, because the mean of its divisors is an integer number (17747156700).

Almost surely, 2797425984344 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 797425984344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135818028800).

797425984344 is an abundant number, since it is smaller than the sum of its proper divisors (1474210073256).

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

797425984344 is a wasteful number, since it uses less digits than its factorization.

797425984344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011385 (or 1011381 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 66.

The spelling of 797425984344 in words is "seven hundred ninety-seven billion, four hundred twenty-five million, nine hundred eighty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 103 116 132 174 206 232 264 309 319 348 412 618 638 696 824 957 1133 1236 1276 1914 2266 2472 2552 2987 3399 3828 4532 5974 6798 7656 8961 9064 11948 13596 17922 23896 27192 32857 35844 65714 71688 98571 131428 197142 262856 394284 788568 1011233 2022466 3033699 4044932 6067398 8089864 11123563 12134796 22247126 24269592 29325757 33370689 44494252 58651514 66741378 87977271 88988504 104156999 117303028 133482756 175954542 208313998 234606056 266965512 312470997 322583327 351909084 416627996 624941994 645166654 703818168 833255992 967749981 1145726989 1249883988 1290333308 1935499962 2291453978 2499767976 2580666616 3020552971 3437180967 3870999924 4582907956 6041105942 6874361934 7741999848 9061658913 9165815912 12082211884 13748723868 18123317826 24164423768 27497447736 33226082681 36246635652 66452165362 72493271304 99678248043 132904330724 199356496086 265808661448 398712992172 797425984344