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21929784144 = 2434147237089
BaseRepresentation
bin10100011011000111…
…011111001101010000
32002121022202110102120
4110123013133031100
5324403011043034
614024023214240
71404304042512
oct243307371520
962538673376
1021929784144
119333878454
1243002a7380
1320b6439148
1410c0703bb2
158853adc49
hex51b1df350

21929784144 has 80 divisors (see below), whose sum is σ = 59268706560. Its totient is φ = 6979870720.

The previous prime is 21929784133. The next prime is 21929784167. The reversal of 21929784144 is 44148792912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26049 + ... + 211040.

It is an arithmetic number, because the mean of its divisors is an integer number (740858832).

Almost surely, 221929784144 is an apocalyptic number.

21929784144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21929784144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29634353280).

21929784144 is an abundant number, since it is smaller than the sum of its proper divisors (37338922416).

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

21929784144 is a wasteful number, since it uses less digits than its factorization.

21929784144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237188 (or 237182 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 21929784144 in words is "twenty-one billion, nine hundred twenty-nine million, seven hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 47 48 82 94 123 141 164 188 246 282 328 376 492 564 656 752 984 1128 1927 1968 2256 3854 5781 7708 11562 15416 23124 30832 46248 92496 237089 474178 711267 948356 1422534 1896712 2845068 3793424 5690136 9720649 11143183 11380272 19441298 22286366 29161947 33429549 38882596 44572732 58323894 66859098 77765192 89145464 116647788 133718196 155530384 178290928 233295576 267436392 456870503 466591152 534872784 913741006 1370611509 1827482012 2741223018 3654964024 5482446036 7309928048 10964892072 21929784144