Search a number
-
+
21833338385012 = 22721144101229627
BaseRepresentation
bin1001111011011011110000…
…11000001111001001110100
32212022020122220002002210212
410331231320120033021310
510330204134111310022
6114234032554204552
74412256323124500
oct475557030171164
985266586062725
1021833338385012
116a58515362830
122547544a23758
13c24b4b422a7b
14556a4c5a3300
1527ce0664e3e2
hex13db7860f274

21833338385012 has 72 divisors (see below), whose sum is σ = 48488334820128. Its totient is φ = 8506265544000.

The previous prime is 21833338385009. The next prime is 21833338385071. The reversal of 21833338385012 is 21058383333812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94966943 + ... + 95196569.

It is an arithmetic number, because the mean of its divisors is an integer number (673449094724).

Almost surely, 221833338385012 is an apocalyptic number.

21833338385012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21833338385012 is an abundant number, since it is smaller than the sum of its proper divisors (26654996435116).

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

21833338385012 is a wasteful number, since it uses less digits than its factorization.

21833338385012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273757 (or 273748 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 21833338385012 in words is "twenty-one trillion, eight hundred thirty-three billion, three hundred thirty-eight million, three hundred eighty-five thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 2156 44101 88202 176404 229627 308707 459254 485111 617414 918508 970222 1234828 1607389 1940444 2160949 2525897 3214778 3395777 4321898 5051794 6429556 6791554 8643796 10103588 11251723 13583108 17681279 22503446 23770439 35362558 45006892 47540878 70725116 95081756 123768953 247537906 495075812 10126780327 20253560654 40507121308 70887462289 111394583597 141774924578 222789167194 283549849156 445578334388 496212236023 779762085179 992424472046 1559524170358 1984848944092 3119048340716 5458334596253 10916669192506 21833338385012