Search a number
-
+
6840777100476 = 223111991401118587
BaseRepresentation
bin110001110001011111000…
…0101101100110010111100
3220012222020111222121211110
41203202332011230302330
51344034402414203401
622314335402122020
71304141555644104
oct143427605546274
926188214877743
106840777100476
1121a8180375290
129259564b0310
133a810c384797
14199149a0a204
15bce270b39d6
hex638be16ccbc

6840777100476 has 96 divisors (see below), whose sum is σ = 17502579763200. Its totient is φ = 2062287691200.

The previous prime is 6840777100463. The next prime is 6840777100481. The reversal of 6840777100476 is 6740017770486.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368031655 + ... + 368050241.

It is an arithmetic number, because the mean of its divisors is an integer number (182318539200).

Almost surely, 26840777100476 is an apocalyptic number.

6840777100476 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6840777100476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8751289881600).

6840777100476 is an abundant number, since it is smaller than the sum of its proper divisors (10661802662724).

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

6840777100476 is a wasteful number, since it uses less digits than its factorization.

6840777100476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32815 (or 32813 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 57.

The spelling of 6840777100476 in words is "six trillion, eight hundred forty billion, seven hundred seventy-seven million, one hundred thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 199 398 597 796 1194 2189 2388 4378 6567 8756 13134 14011 18587 26268 28022 37174 42033 55761 56044 74348 84066 111522 154121 168132 204457 223044 308242 408914 462363 613371 616484 817828 924726 1226742 1849452 2453484 2788189 3698813 5576378 7397626 8364567 11096439 11152756 14795252 16729134 22192878 30670079 33458268 40686943 44385756 61340158 81373886 92010237 122060829 122680316 162747772 184020474 244121658 260422457 368040948 488243316 520844914 781267371 1041689828 1562534742 2864647027 3125069484 5729294054 8593941081 11458588108 17187882162 34375764324 51824068943 103648137886 155472206829 207296275772 310944413658 570064758373 621888827316 1140129516746 1710194275119 2280259033492 3420388550238 6840777100476