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4186996814 = 27111310120707
BaseRepresentation
bin1111100110010000…
…1000000001001110
3101210210120110212002
43321210020001032
532033332344224
61531245512302
7205520612540
oct37144100116
911723513762
104186996814
1118594a5750
1298a272692
135195a5210
142ba10d690
151978b19ae
hexf990804e

4186996814 has 64 divisors (see below), whose sum is σ = 8516454912. Its totient is φ = 1490832000.

The previous prime is 4186996813. The next prime is 4186996909.

4186996814 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4186996814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4186996813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191849 + ... + 212555.

It is an arithmetic number, because the mean of its divisors is an integer number (133069608).

Almost surely, 24186996814 is an apocalyptic number.

4186996814 is an abundant number, since it is smaller than the sum of its proper divisors (4329458098).

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

4186996814 is a wasteful number, since it uses less digits than its factorization.

4186996814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20841.

The product of its digits is 2985984, while the sum is 56.

The square root of 4186996814 is about 64707.0074566890. The cubic root of 4186996814 is about 1611.7618681564.

The spelling of 4186996814 in words is "four billion, one hundred eighty-six million, nine hundred ninety-six thousand, eight hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 101 143 154 182 202 286 707 1001 1111 1313 1414 2002 2222 2626 7777 9191 14443 15554 18382 20707 28886 41414 101101 144949 202202 227777 269191 289898 455554 538382 1594439 1884337 2091407 2961101 3188878 3768674 4182814 5922202 14639849 20727707 23005477 27188291 29279698 41455414 46010954 54376582 161038339 190318037 299071201 322076678 380636074 598142402 2093498407 4186996814