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794422921344 = 273131123141709
BaseRepresentation
bin10111000111101110100…
…10111100100010000000
32210221112200212210022220
423203313102330202000
5101003434231440334
61404541452131040
7111252353262333
oct13436722744200
92727480783286
10794422921344
11286a05034a88
12109b6a766a80
1359bb56b9230
142a6437a661a
15159e8899449
hexb8f74bc880

794422921344 has 128 divisors (see below), whose sum is σ = 2274547531200. Its totient is φ = 244218433536.

The previous prime is 794422921339. The next prime is 794422921349. The reversal of 794422921344 is 443129224497.

It is an interprime number because it is at equal distance from previous prime (794422921339) and next prime (794422921349).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7944229213442 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (794422921349) 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 15 ways as a sum of consecutive naturals, for example, 5535162 + ... + 5676870.

Almost surely, 2794422921344 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 794422921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137273765600).

794422921344 is an abundant number, since it is smaller than the sum of its proper divisors (1480124609856).

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

794422921344 is a wasteful number, since it uses less digits than its factorization.

794422921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142862 (or 142850 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 794422921344 in words is "seven hundred ninety-four billion, four hundred twenty-two million, nine hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1123 1248 1664 2246 2496 3369 4492 4992 6738 8984 13476 14599 17968 26952 29198 35936 43797 53904 58396 71872 87594 107808 116792 141709 143744 175188 215616 233584 283418 350376 425127 431232 467168 566836 700752 850254 934336 1133672 1401504 1700508 1842217 1868672 2267344 2803008 3401016 3684434 4534688 5526651 5606016 6802032 7368868 9069376 11053302 13604064 14737736 18138752 22106604 27208128 29475472 44213208 54416256 58950944 88426416 117901888 159139207 176852832 235803776 318278414 353705664 477417621 636556828 707411328 954835242 1273113656 1909670484 2068809691 2546227312 3819340968 4137619382 5092454624 6206429073 7638681936 8275238764 10184909248 12412858146 15277363872 16550477528 20369818496 24825716292 30554727744 33100955056 49651432584 61109455488 66201910112 99302865168 132403820224 198605730336 264807640448 397211460672 794422921344