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23312433421332 = 22321158869781367
BaseRepresentation
bin1010100110011110110010…
…10100000001110000010100
310001112122110120100001111100
411103033121110001300110
511023422330423440312
6121325330054110100
74624160555365206
oct523173124016024
9101478416301440
1023312433421332
117478824a04530
12274613294b330
13100147881a983
145a8483698776
152a66235c05dc
hex1533d9501c14

23312433421332 has 36 divisors (see below), whose sum is σ = 64285801253856. Its totient is φ = 7064373763920.

The previous prime is 23312433421313. The next prime is 23312433421367.

23312433421332 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 2 + 433 + 4 + 213 + 3 + 2 = 666.

23312433421332 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29434890288 + ... + 29434891079.

It is an arithmetic number, because the mean of its divisors is an integer number (1785716701496).

Almost surely, 223312433421332 is an apocalyptic number.

23312433421332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23312433421332 is an abundant number, since it is smaller than the sum of its proper divisors (40973367832524).

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

23312433421332 is a wasteful number, since it uses less digits than its factorization.

23312433421332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58869781388 (or 58869781383 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 2331243 and 3421332, that added together give a palindrome (5752575).

The spelling of 23312433421332 in words is "twenty-three trillion, three hundred twelve billion, four hundred thirty-three million, four hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 58869781367 117739562734 176609344101 235479125468 353218688202 529828032303 647567595037 706437376404 1059656064606 1295135190074 1942702785111 2119312129212 2590270380148 3885405570222 5828108355333 7770811140444 11656216710666 23312433421332