Search a number
-
+
791420308480 = 2105193800903
BaseRepresentation
bin10111000010001000101…
…00111000110000000000
32210122210102221020211001
423201010110320300000
5100431312044332410
61403323511501344
7111115063425064
oct13410424706000
92718712836731
10791420308480
1128570414a54a
12109471087854
13598275cb629
142a43aabdaa4
15158bee8b33a
hexb844538c00

791420308480 has 88 divisors (see below), whose sum is σ = 1908320368032. Its totient is φ = 314927480832.

The previous prime is 791420308477. The next prime is 791420308507. The reversal of 791420308480 is 84803024197.

It is a super-2 number, since 2×7914203084802 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 791420308480.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 587709 + ... + 1388611.

Almost surely, 2791420308480 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 791420308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954160184016).

791420308480 is an abundant number, since it is smaller than the sum of its proper divisors (1116900059552).

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

791420308480 is a wasteful number, since it uses less digits than its factorization.

791420308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801121 (or 801103 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 791420308480 in words is "seven hundred ninety-one billion, four hundred twenty million, three hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 193 256 320 386 512 640 772 965 1024 1280 1544 1930 2560 3088 3860 5120 6176 7720 12352 15440 24704 30880 49408 61760 98816 123520 197632 247040 494080 800903 988160 1601806 3203612 4004515 6407224 8009030 12814448 16018060 25628896 32036120 51257792 64072240 102515584 128144480 154574279 205031168 256288960 309148558 410062336 512577920 618297116 772871395 820124672 1025155840 1236594232 1545742790 2050311680 2473188464 3091485580 4100623360 4946376928 6182971160 9892753856 12365942320 19785507712 24731884640 39571015424 49463769280 79142030848 98927538560 158284061696 197855077120 395710154240 791420308480