Search a number
-
+
6793973868 = 223111910126821
BaseRepresentation
bin1100101001111001…
…11101000001101100
3122112111001122001210
412110330331001230
5102403224130433
63042054234420
7330234552663
oct62474750154
918474048053
106793973868
112977026140
121397355a10
1384371baa6
14486449dda
1529b6be463
hex194f3d06c

6793973868 has 96 divisors (see below), whose sum is σ = 18384871680. Its totient is φ = 1931040000.

The previous prime is 6793973861. The next prime is 6793973941. The reversal of 6793973868 is 8683793976.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 6793973799 and 6793973808.

It is not an unprimeable number, because it can be changed into a prime (6793973861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239898 + ... + 266718.

It is an arithmetic number, because the mean of its divisors is an integer number (191509080).

Almost surely, 26793973868 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 6793973868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192435840).

6793973868 is an abundant number, since it is smaller than the sum of its proper divisors (11590897812).

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

6793973868 is a wasteful number, since it uses less digits than its factorization.

6793973868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26959 (or 26957 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 66.

The square root of 6793973868 is about 82425.5656213532. The cubic root of 6793973868 is about 1893.9766654983.

The spelling of 6793973868 in words is "six billion, seven hundred ninety-three million, nine hundred seventy-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 101 114 132 202 209 228 303 404 418 606 627 836 1111 1212 1254 1919 2222 2508 3333 3838 4444 5757 6666 7676 11514 13332 21109 23028 26821 42218 53642 63327 80463 84436 107284 126654 160926 253308 295031 321852 509599 590062 885093 1019198 1180124 1528797 1770186 2038396 2708921 3057594 3540372 5417842 5605589 6115188 8126763 10835684 11211178 16253526 16816767 22422356 29798131 32507052 33633534 51469499 59596262 67267068 89394393 102938998 119192524 154408497 178788786 205877996 308816994 357577572 566164489 617633988 1132328978 1698493467 2264657956 3396986934 6793973868