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4693400055 = 3251932512153
BaseRepresentation
bin1000101111011111…
…11001100111110111
3110010002110102111200
410113233321213313
534103002300210
62053415503543
7224210146041
oct42757714767
913102412450
104693400055
111a99335a23
12aab987bb3
1359a48c9c6
14327490a91
151c70920c0
hex117bf99f7

4693400055 has 48 divisors (see below), whose sum is σ = 8213770656. Its totient is φ = 2479104000.

The previous prime is 4693400053. The next prime is 4693400057. The reversal of 4693400055 is 5500043964.

It is a happy number.

4693400055 is a nontrivial binomial coefficient, being equal to C(96886, 2).

It is an interprime number because it is at equal distance from previous prime (4693400053) and next prime (4693400057).

It is not a de Polignac number, because 4693400055 - 21 = 4693400053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4693399992 and 4693400019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4693400053) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2178859 + ... + 2181011.

It is an arithmetic number, because the mean of its divisors is an integer number (171120222).

Almost surely, 24693400055 is an apocalyptic number.

4693400055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4693400055 is the 96885-th triangular number and also the 48443-rd hexagonal number.

4693400055 is a deficient number, since it is larger than the sum of its proper divisors (3520370601).

4693400055 is a wasteful number, since it uses less digits than its factorization.

4693400055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 4693400055 is about 68508.3940477370. The cubic root of 4693400055 is about 1674.2842481391.

The spelling of 4693400055 in words is "four billion, six hundred ninety-three million, four hundred thousand, fifty-five".

Divisors: 1 3 5 9 15 45 193 251 579 753 965 1255 1737 2153 2259 2895 3765 6459 8685 10765 11295 19377 32295 48443 96885 145329 242215 415529 435987 540403 726645 1246587 1621209 2077645 2179935 2702015 3739761 4863627 6232935 8106045 18698805 24318135 104297779 312893337 521488895 938680011 1564466685 4693400055