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21629966448 = 2432919778877
BaseRepresentation
bin10100001001001111…
…110001100001110000
32001211102121010212110
4110021033301201300
5323244232411243
613534153125320
71364003452446
oct241117614160
961742533773
1021629966448
11919a608a32
1242379b9840
1320692a331c
14109297ab96
15868dd8e33
hex5093f1870

21629966448 has 80 divisors (see below), whose sum is σ = 58098379680. Its totient is φ = 6925943808.

The previous prime is 21629966399. The next prime is 21629966483. The reversal of 21629966448 is 84466992612.

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, 234786 + ... + 313662.

It is an arithmetic number, because the mean of its divisors is an integer number (726229746).

Almost surely, 221629966448 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 21629966448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29049189840).

21629966448 is an abundant number, since it is smaller than the sum of its proper divisors (36468413232).

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

21629966448 is a wasteful number, since it uses less digits than its factorization.

21629966448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79114 (or 79108 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The spelling of 21629966448 in words is "twenty-one billion, six hundred twenty-nine million, nine hundred sixty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 197 232 348 394 464 591 696 788 1182 1392 1576 2364 3152 4728 5713 9456 11426 17139 22852 34278 45704 68556 78877 91408 137112 157754 236631 274224 315508 473262 631016 946524 1262032 1893048 2287433 3786096 4574866 6862299 9149732 13724598 15538769 18299464 27449196 31077538 36598928 46616307 54898392 62155076 93232614 109796784 124310152 186465228 248620304 372930456 450624301 745860912 901248602 1351872903 1802497204 2703745806 3604994408 5407491612 7209988816 10814983224 21629966448