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193991962312 = 232343532631759
BaseRepresentation
bin1011010010101011010…
…0100110111011001000
3200112201122002202012001
42310222310212323020
511134243420243222
6225041345000344
720005205321101
oct2645264467310
9615648082161
10193991962312
11752a94505a5
123171b6230b4
13153a769aaa5
1495641bd3a8
1550a5c9ee27
hex2d2ad26ec8

193991962312 has 128 divisors (see below), whose sum is σ = 397434470400. Its totient is φ = 88522866432.

The previous prime is 193991962309. The next prime is 193991962321. The reversal of 193991962312 is 213269199391.

193991962312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 110284489 + ... + 110286247.

It is an arithmetic number, because the mean of its divisors is an integer number (3104956800).

Almost surely, 2193991962312 is an apocalyptic number.

It is an amenable number.

193991962312 is an abundant number, since it is smaller than the sum of its proper divisors (203442508088).

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

193991962312 is a wasteful number, since it uses less digits than its factorization.

193991962312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2143 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 55.

The spelling of 193991962312 in words is "one hundred ninety-three billion, nine hundred ninety-one million, nine hundred sixty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 23 43 46 53 86 92 106 172 184 212 263 344 424 526 989 1052 1219 1759 1978 2104 2279 2438 3518 3956 4558 4876 6049 7036 7912 9116 9752 11309 12098 13939 14072 18232 22618 24196 27878 40457 45236 48392 52417 55756 75637 80914 90472 93227 104834 111512 151274 161828 186454 209668 260107 302548 320597 323656 372908 419336 462617 520214 599377 605096 641194 745816 925234 1040428 1198754 1282388 1739651 1850468 2080856 2144221 2397508 2564776 3479302 3700936 4008761 4288442 4795016 6958604 8017522 8576884 10640191 13785671 13917208 16035044 17153768 19892531 21280382 24518701 27571342 32070088 39785062 42560764 49037402 55142684 79570124 85121528 92201503 98074804 110285368 159140248 184403006 196149608 368806012 457528213 563930123 737612024 915056426 1054304143 1127860246 1830112852 2108608286 2255720492 3660225704 4217216572 4511440984 8434433144 24248995289 48497990578 96995981156 193991962312