Search a number
-
+
6984850196272 = 2413157556338449
BaseRepresentation
bin110010110100100100110…
…0000111100011100110000
3220201202010012221012121111
41211221021200330130300
51403414433122240042
622504443524403104
71320432046026214
oct145511140743460
926652105835544
106984850196272
1122532929285a3
12949864246494
133b888ca4bb20
141a20d6178944
15c1a5a698517
hex65a4983c730

6984850196272 has 80 divisors (see below), whose sum is σ = 14670005677600. Its totient is φ = 3202584293376.

The previous prime is 6984850196267. The next prime is 6984850196297. The reversal of 6984850196272 is 2726910584896.

It is a super-3 number, since 3×69848501962723 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6984850196198 and 6984850196207.

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 15 ways as a sum of consecutive naturals, for example, 181646104 + ... + 181684552.

It is an arithmetic number, because the mean of its divisors is an integer number (183375070970).

Almost surely, 26984850196272 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 6984850196272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335002838800).

6984850196272 is an abundant number, since it is smaller than the sum of its proper divisors (7685155481328).

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

6984850196272 is a wasteful number, since it uses less digits than its factorization.

6984850196272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44190 (or 44184 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 67.

The spelling of 6984850196272 in words is "six trillion, nine hundred eighty-four billion, eight hundred fifty million, one hundred ninety-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 314 628 1256 2041 2512 4082 5563 8164 11126 16328 22252 32656 38449 44504 72319 76898 89008 144638 153796 289276 307592 499837 578552 615184 873391 999674 1157104 1746782 1999348 3493564 3998696 6036493 6987128 7997392 11354083 12072986 13974256 22708166 24145972 45416332 48291944 78474409 90832664 96583888 156948818 181665328 213891787 313897636 427783574 627795272 855567148 1255590544 1711134296 2780593231 3422268592 5561186462 11122372924 22244745848 33581010559 44489491696 67162021118 134324042236 268648084472 436553137267 537296168944 873106274534 1746212549068 3492425098136 6984850196272