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21233641744 = 2471512275531
BaseRepresentation
bin10011110001100111…
…111010100100010000
32000210210211202120201
4103301213322210100
5321441303013434
613430554344544
71351121656030
oct236147724420
960723752521
1021233641744
119006923357
12414712b154
13200514a873
1410560918c0
158441ee614
hex4f19fa910

21233641744 has 80 divisors (see below), whose sum is σ = 47545814016. Its totient is φ = 8998416000.

The previous prime is 21233641711. The next prime is 21233641769. The reversal of 21233641744 is 44714633212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3836259 + ... + 3841789.

Almost surely, 221233641744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21233641744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23772907008).

21233641744 is an abundant number, since it is smaller than the sum of its proper divisors (26312172272).

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

21233641744 is a wasteful number, since it uses less digits than its factorization.

21233641744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924 (or 5918 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

The spelling of 21233641744 in words is "twenty-one billion, two hundred thirty-three million, six hundred forty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 151 227 302 454 604 908 1057 1208 1589 1816 2114 2416 3178 3632 4228 5531 6356 8456 11062 12712 16912 22124 25424 34277 38717 44248 68554 77434 88496 137108 154868 239939 274216 309736 479878 548432 619472 835181 959756 1255537 1670362 1919512 2511074 3340724 3839024 5022148 5846267 6681448 8788759 10044296 11692534 13362896 17577518 20088592 23385068 35155036 46770136 70310072 93540272 140620144 189586087 379172174 758344348 1327102609 1516688696 2654205218 3033377392 5308410436 10616820872 21233641744