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21233640412032 = 273173252702269
BaseRepresentation
bin1001101001111110101111…
…00110000001001110000000
32210011220201220112121111120
410310333113212001032000
510240342443421141112
6113054333313312240
74321036255350636
oct464772746011600
983156656477446
1021233640412032
1168471554a8644
12246b27b265680
13bb0429222b99
145359dc49d356
1526c508090e8c
hex134fd7981380

21233640412032 has 64 divisors (see below), whose sum is σ = 59719613677200. Its totient is φ = 6661534244864.

The previous prime is 21233640412027. The next prime is 21233640412057. The reversal of 21233640412032 is 23021404633212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 21233640411984 and 21233640412002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1626344607 + ... + 1626357662.

Almost surely, 221233640412032 is an apocalyptic number.

It is an amenable number.

21233640412032 is an abundant number, since it is smaller than the sum of its proper divisors (38485973265168).

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

21233640412032 is a wasteful number, since it uses less digits than its factorization.

21233640412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252702303 (or 3252702291 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 21233640412032 in words is "twenty-one trillion, two hundred thirty-three billion, six hundred forty million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 3252702269 6505404538 9758106807 13010809076 19516213614 26021618152 39032427228 52043236304 55295938573 78064854456 104086472608 110591877146 156129708912 165887815719 208172945216 221183754292 312259417824 331775631438 416345890432 442367508584 624518835648 663551262876 884735017168 1249037671296 1327102525752 1769470034336 2654205051504 3538940068672 5308410103008 7077880137344 10616820206016 21233640412032