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7820469966 = 234737397417
BaseRepresentation
bin1110100100010001…
…01110011011001110
3202012000121000222210
413102020232123032
5112004020014331
63332003451250
7364540616661
oct72210563316
922160530883
107820469966
1133534a6921
121623086b26
139782a512a
145428d36d8
1530b886446
hex1d222e6ce

7820469966 has 32 divisors (see below), whose sum is σ = 15980152320. Its totient is φ = 2550332736.

The previous prime is 7820469953. The next prime is 7820469983. The reversal of 7820469966 is 6699640287.

It is a super-2 number, since 2×78204699662 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1050690 + ... + 1058106.

It is an arithmetic number, because the mean of its divisors is an integer number (499379760).

Almost surely, 27820469966 is an apocalyptic number.

7820469966 is an abundant number, since it is smaller than the sum of its proper divisors (8159682354).

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

7820469966 is a wasteful number, since it uses less digits than its factorization.

7820469966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11208.

The product of its (nonzero) digits is 7838208, while the sum is 57.

The square root of 7820469966 is about 88433.4210918022. The cubic root of 7820469966 is about 1984.9258340361.

The spelling of 7820469966 in words is "seven billion, eight hundred twenty million, four hundred sixty-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 47 94 141 282 3739 7417 7478 11217 14834 22251 22434 44502 175733 348599 351466 527199 697198 1045797 1054398 2091594 27732163 55464326 83196489 166392978 1303411661 2606823322 3910234983 7820469966