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4820442165 = 335711242157
BaseRepresentation
bin1000111110101001…
…00001110000110101
3110102221111211112000
410133110201300311
534333013122130
62114154445513
7230312040150
oct43724416065
913387454460
104820442165
112054017600
12b26433899
135ba8b1056
1433a2c0c97
151d32d9260
hex11f521c35

4820442165 has 96 divisors (see below), whose sum is σ = 10765466880. Its totient is φ = 2003253120.

The previous prime is 4820442163. The next prime is 4820442173. The reversal of 4820442165 is 5612440284.

It is not a de Polignac number, because 4820442165 - 21 = 4820442163 is a prime.

It is a super-2 number, since 2×48204421652 = 46473325332219774450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4820442163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93267 + ... + 135423.

It is an arithmetic number, because the mean of its divisors is an integer number (112140280).

Almost surely, 24820442165 is an apocalyptic number.

4820442165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4820442165 is an abundant number, since it is smaller than the sum of its proper divisors (5945024715).

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

4820442165 is a wasteful number, since it uses less digits than its factorization.

4820442165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42200 (or 42183 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4820442165 is about 69429.4041815138. The cubic root of 4820442165 is about 1689.2566044071.

It can be divided in two parts, 4820 and 442165, that added together give a triangular number (446985 = T945).

The spelling of 4820442165 in words is "four billion, eight hundred twenty million, four hundred forty-two thousand, one hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 121 135 165 189 231 297 315 363 385 495 605 693 847 945 1089 1155 1485 1815 2079 2541 3267 3465 4235 5445 7623 10395 12705 16335 22869 38115 42157 114345 126471 210785 295099 379413 463727 632355 885297 1138239 1391181 1475495 1897065 2318635 2655891 3246089 4173543 4426485 5100997 5691195 6955905 7967673 9738267 12520629 13279455 15302991 16230445 20867715 25504985 29214801 35706979 39838365 45908973 48691335 62603145 76514955 87644403 107120937 137726919 146074005 178534895 229544865 321362811 438222015 535604685 688634595 964088433 1606814055 4820442165