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820038013884 = 223316374638329
BaseRepresentation
bin10111110111011100001…
…00110001001110111100
32220101122212012022111000
423323232010301032330
5101413414212421014
61424415324330300
7113150210052405
oct13735604611674
92811585168430
10820038013884
1129685a098151
12112b190a3990
135c4384a3b1b
142b9937049ac
15164e756b509
hexbeee1313bc

820038013884 has 48 divisors (see below), whose sum is σ = 2127323671200. Its totient is φ = 273178965888.

The previous prime is 820038013853. The next prime is 820038013973. The reversal of 820038013884 is 488310830028.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2142369 + ... + 2495960.

It is an arithmetic number, because the mean of its divisors is an integer number (44319243150).

Almost surely, 2820038013884 is an apocalyptic number.

It is an amenable number.

820038013884 is an abundant number, since it is smaller than the sum of its proper divisors (1307285657316).

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

820038013884 is a wasteful number, since it uses less digits than its factorization.

820038013884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639979 (or 4639971 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 820038013884 in words is "eight hundred twenty billion, thirty-eight million, thirteen thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1637 3274 4911 6548 9822 14733 19644 29466 44199 58932 88398 176796 4638329 9276658 13914987 18553316 27829974 41744961 55659948 83489922 125234883 166979844 250469766 500939532 7592944573 15185889146 22778833719 30371778292 45557667438 68336501157 91115334876 136673002314 205009503471 273346004628 410019006942 820038013884