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21909229927424 = 21072563775573
BaseRepresentation
bin1001111101101001000111…
…10111011111110000000000
32212120111112220101220111222
410332310203313133300000
510332430100330134144
6114332543345254212
74420614066443600
oct476644367376000
985514486356458
1021909229927424
116a8771a137914
12255a1a4934368
13c2c054320b98
1455a5ab834c00
1527ed990c22ee
hex13ed23ddfc00

21909229927424 has 132 divisors (see below), whose sum is σ = 51038164092744. Its totient is φ = 9372979961856.

The previous prime is 21909229927369. The next prime is 21909229927477. The reversal of 21909229927424 is 42472992290912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27861302 + ... + 28636874.

Almost surely, 221909229927424 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 21909229927424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25519082046372).

21909229927424 is an abundant number, since it is smaller than the sum of its proper divisors (29128934165320).

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

21909229927424 is an equidigital number, since it uses as much as digits as its factorization.

21909229927424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776170 (or 776145 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 62.

The spelling of 21909229927424 in words is "twenty-one trillion, nine hundred nine billion, two hundred twenty-nine million, nine hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 563 784 896 1024 1126 1568 1792 2252 3136 3584 3941 4504 6272 7168 7882 9008 12544 15764 18016 25088 27587 31528 36032 50176 55174 63056 72064 110348 126112 144128 220696 252224 288256 441392 504448 576512 775573 882784 1008896 1551146 1765568 2017792 3102292 3531136 4035584 5429011 6204584 7062272 10858022 12409168 14124544 21716044 24818336 28249088 38003077 43432088 49636672 76006154 86864176 99273344 152012308 173728352 198546688 304024616 347456704 397093376 436647599 608049232 694913408 794186752 873295198 1216098464 1389826816 1746590396 2432196928 2779653632 3056533193 3493180792 4864393856 5559307264 6113066386 6986361584 9728787712 12226132772 13972723168 19457575424 21395732351 24452265544 27945446336 38915150848 42791464702 48904531088 55890892672 85582929404 97809062176 111781785344 171165858808 195618124352 223563570688 342331717616 391236248704 447127141376 684663435232 782472497408 1369326870464 1564944994816 2738653740928 3129889989632 5477307481856 10954614963712 21909229927424