Search a number
-
+
6832810842 = 23111310973061
BaseRepresentation
bin1100101110100010…
…00110101101011010
3122122012010202101020
412113101012231122
5102443144421332
63050002503310
7331215635214
oct62721065532
918565122336
106832810842
112996a41a10
1213a8364b36
1384b799150
1448b6795b4
1529ece182c
hex197446b5a

6832810842 has 64 divisors (see below), whose sum is σ = 16202229120. Its totient is φ = 1893715200.

The previous prime is 6832810841. The next prime is 6832810861. The reversal of 6832810842 is 2480182386.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6832810794 and 6832810803.

It is not an unprimeable number, because it can be changed into a prime (6832810841) 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, 56992 + ... + 130052.

It is an arithmetic number, because the mean of its divisors is an integer number (253159830).

Almost surely, 26832810842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6832810842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101114560).

6832810842 is an abundant number, since it is smaller than the sum of its proper divisors (9369418278).

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

6832810842 is a wasteful number, since it uses less digits than its factorization.

6832810842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73199.

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 6832810842 is about 82660.8180578925. The cubic root of 6832810842 is about 1897.5787109088.

The spelling of 6832810842 in words is "six billion, eight hundred thirty-two million, eight hundred ten thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 109 143 218 286 327 429 654 858 1199 1417 2398 2834 3597 4251 7194 8502 15587 31174 46761 73061 93522 146122 219183 438366 803671 949793 1607342 1899586 2411013 2849379 4822026 5698758 7963649 10447723 15927298 20895446 23890947 31343169 47781894 62686338 87600139 103527437 175200278 207054874 262800417 310582311 525600834 621164622 1138801807 2277603614 3416405421 6832810842