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3816123432 = 23311127113819
BaseRepresentation
bin1110001101110101…
…0110110000101000
3100211221201011012220
43203131112300220
530303411422212
61430400434040
7163365341202
oct34335266050
910757634186
103816123432
111689114020
128a6018920
1348a7c1204
14282b6b772
1517505338c
hexe3756c28

3816123432 has 64 divisors (see below), whose sum is σ = 10489651200. Its totient is φ = 1147285440.

The previous prime is 3816123431. The next prime is 3816123439. The reversal of 3816123432 is 2343216183.

3816123432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 3816123393 and 3816123402.

It is not an unprimeable number, because it can be changed into a prime (3816123431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23382 + ... + 90437.

It is an arithmetic number, because the mean of its divisors is an integer number (163900800).

Almost surely, 23816123432 is an apocalyptic number.

It is an amenable number.

3816123432 is an abundant number, since it is smaller than the sum of its proper divisors (6673527768).

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

3816123432 is a wasteful number, since it uses less digits than its factorization.

3816123432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113966 (or 113962 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3816123432 is about 61774.7799024812. The cubic root of 3816123432 is about 1562.6946949881.

The spelling of 3816123432 in words is "three billion, eight hundred sixteen million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 2794 3048 4191 5588 8382 11176 16764 33528 113819 227638 341457 455276 682914 910552 1252009 1365828 2504018 2731656 3756027 5008036 7512054 10016072 14455013 15024108 28910026 30048216 43365039 57820052 86730078 115640104 159005143 173460156 318010286 346920312 477015429 636020572 954030858 1272041144 1908061716 3816123432