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21233644633212 = 22311577927835429
BaseRepresentation
bin1001101001111110101111…
…10110000111110001111100
32210011220202012111001212120
410310333113312013301330
510240343001011230322
6113054333544002540
74321036336261404
oct464772766076174
983156665431776
1021233644633212
116847157921020
12246b280760450
13bb042a07031b
145359dcc7b804
1526c508626a5c
hex134fd7d87c7c

21233644633212 has 48 divisors (see below), whose sum is σ = 54058631894400. Its totient is φ = 6433324119360.

The previous prime is 21233644633189. The next prime is 21233644633219.

21233644633212 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21233644633219) 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, 13154887 + ... + 14680542.

It is an arithmetic number, because the mean of its divisors is an integer number (1126221497800).

Almost surely, 221233644633212 is an apocalyptic number.

21233644633212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21233644633212 is an abundant number, since it is smaller than the sum of its proper divisors (32824987261188).

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

21233644633212 is a wasteful number, since it uses less digits than its factorization.

21233644633212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27841226 (or 27841224 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 2123364 and 4633212, that added together give a palindrome (6756576).

The spelling of 21233644633212 in words is "twenty-one trillion, two hundred thirty-three billion, six hundred forty-four million, six hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 5779 11558 17337 23116 34674 63569 69348 127138 190707 254276 381414 762828 27835429 55670858 83506287 111341716 167012574 306189719 334025148 612379438 918569157 1224758876 1837138314 3674276628 160860944191 321721888382 482582832573 643443776764 965165665146 1769470386101 1930331330292 3538940772202 5308411158303 7077881544404 10616822316606 21233644633212