Search a number
-
+
198379999460793 = 33315471473124793
BaseRepresentation
bin101101000110110011110001…
…011001011111110110111001
3222000101221110020210220200210
4231012303301121133312321
5202000224214330221133
61541530302535421333
756533324215036513
oct5506636131376671
9860357406726623
10198379999460793
1158234537a37817
121a2bb458524849
1386901cc82c977
1436db900d50bb3
1517e04bbb84763
hexb46cf165fdb9

198379999460793 has 32 divisors (see below), whose sum is σ = 265819563530752. Its totient is φ = 131598484617600.

The previous prime is 198379999460723. The next prime is 198379999460833. The reversal of 198379999460793 is 397064999973891.

It is not a de Polignac number, because 198379999460793 - 225 = 198379965906361 is a prime.

It is a super-3 number, since 3×1983799994607933 (a number of 44 digits) contains 333 as substring.

It is the 14084744-th Hogben number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 198379999460697 and 198379999460706.

It is not an unprimeable number, because it can be changed into a prime (198379999460723) by changing a digit.

It is a nontrivial repunit in base 14084743.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8001439605 + ... + 8001464397.

It is an arithmetic number, because the mean of its divisors is an integer number (8306861360336).

Almost surely, 2198379999460793 is an apocalyptic number.

It is an amenable number.

198379999460793 is a deficient number, since it is larger than the sum of its proper divisors (67439564069959).

198379999460793 is a wasteful number, since it uses less digits than its factorization.

198379999460793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40405.

The product of its (nonzero) digits is 44998172352, while the sum is 93.

The spelling of 198379999460793 in words is "one hundred ninety-eight trillion, three hundred seventy-nine billion, nine hundred ninety-nine million, four hundred sixty thousand, seven hundred ninety-three".

Divisors: 1 3 331 547 993 1641 14731 24793 44193 74379 181057 543171 4875961 8057857 8206483 13561771 14627883 24173571 24619449 40685313 365225683 1095677049 2667150667 4488946201 8001452001 13466838603 120889701073 199778448601 362669103219 599335345803 66126666486931 198379999460793