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10794479546394 = 23217397169752361
BaseRepresentation
bin1001110100010100100100…
…0111100111000000011010
31102012221102211122220010100
42131011021013213000122
52403324043230441034
634542525423000230
72162606160146355
oct235051107470032
942187384586110
1010794479546394
113491a05324265
121264061439076
13603bb84ac4ab
1429465423529c
1513abc8775099
hex9d1491e701a

10794479546394 has 96 divisors (see below), whose sum is σ = 24841287231696. Its totient is φ = 3375918120960.

The previous prime is 10794479546369. The next prime is 10794479546399. The reversal of 10794479546394 is 49364597449701.

10794479546394 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 4 + 4 + 79 + 5 + 463 + 94 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8119439388369 + 2675040158025 = 2849463^2 + 1635555^2 .

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10794479546399) 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 47 ways as a sum of consecutive naturals, for example, 206128774 + ... + 206181134.

Almost surely, 210794479546394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10794479546394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420643615848).

10794479546394 is an abundant number, since it is smaller than the sum of its proper divisors (14046807685302).

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

10794479546394 is a wasteful number, since it uses less digits than its factorization.

10794479546394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54480 (or 54477 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 10794479546394 in words is "ten trillion, seven hundred ninety-four billion, four hundred seventy-nine million, five hundred forty-six thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 397 794 1191 1697 2382 3394 3573 5091 6749 7146 10182 13498 15273 20247 28849 30546 40494 52361 57698 60741 86547 104722 121482 157083 173094 259641 314166 471249 519282 673709 890137 942498 1347418 1780274 2021127 2670411 4042254 5340822 6063381 8011233 11453053 12126762 16022466 20787317 22906106 34359159 41574634 62361951 68718318 88856617 103077477 124723902 177713234 187085853 206154954 266569851 353384389 374171706 533139702 706768778 799709553 1060153167 1510562489 1599419106 2120306334 3021124978 3180459501 4531687467 6360919002 9063374934 13595062401 27190124802 35276076949 70552153898 105828230847 211656461694 317484692541 599693308133 634969385082 1199386616266 1799079924399 3598159848798 5397239773197 10794479546394