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6775106032 = 2419612831291
BaseRepresentation
bin1100100111101001…
…11110100111110000
3122111011120001021001
412103310332213300
5102333411343112
63040142011344
7326615310502
oct62364764760
918434501231
106775106032
112967409492
121390b76b54
1383c843aa6
14483b37d72
15299be3c57
hex193d3e9f0

6775106032 has 80 divisors (see below), whose sum is σ = 14104712320. Its totient is φ = 3143059200.

The previous prime is 6775106029. The next prime is 6775106047. The reversal of 6775106032 is 2306015776.

It is a junction number, because it is equal to n+sod(n) for n = 6775105982 and 6775106000.

It is a congruent number.

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, 5247307 + ... + 5248597.

It is an arithmetic number, because the mean of its divisors is an integer number (176308904).

Almost surely, 26775106032 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 6775106032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052356160).

6775106032 is an abundant number, since it is smaller than the sum of its proper divisors (7329606288).

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

6775106032 is a wasteful number, since it uses less digits than its factorization.

6775106032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 6775106032 is about 82311.0322617813. The cubic root of 6775106032 is about 1892.2217586959.

The spelling of 6775106032 in words is "six billion, seven hundred seventy-five million, one hundred six thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 244 283 304 488 566 976 1132 1159 1291 2264 2318 2582 4528 4636 5164 5377 9272 10328 10754 17263 18544 20656 21508 24529 34526 43016 49058 69052 78751 86032 98116 138104 157502 196232 276208 315004 327997 365353 392464 630008 655994 730706 1260016 1311988 1461412 1496269 2623976 2922824 2992538 5247952 5845648 5985076 6941707 11970152 13883414 22286533 23940304 27766828 44573066 55533656 89146132 111067312 178292264 356584528 423444127 846888254 1693776508 3387553016 6775106032