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21941904384 = 2103215432
BaseRepresentation
bin10100011011110101…
…101110010000000000
32002122011120020021100
4110123311232100000
5324414111420014
614025135054400
71404512052501
oct243365562000
962564506240
1021941904384
11933a6a6584
124304371400
1320b8ac0a9a
1410c217aba8
158864a5009
hex51bd6e400

21941904384 has 99 divisors (see below), whose sum is σ = 63397860123. Its totient is φ = 7309228032.

The previous prime is 21941904379. The next prime is 21941904503. The reversal of 21941904384 is 48340914912.

The square root of 21941904384 is 148128.

It is a perfect power (a square), and thus also a powerful number.

21941904384 is a `hidden beast` number, since 21 + 9 + 4 + 190 + 438 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14219517 + ... + 14221059.

Almost surely, 221941904384 is an apocalyptic number.

21941904384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21941904384 is the 148128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21941904384

21941904384 is an abundant number, since it is smaller than the sum of its proper divisors (41455955739).

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

21941904384 is an frugal number, since it uses more digits than its factorization.

21941904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 21941904384 in words is "twenty-one billion, nine hundred forty-one million, nine hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1543 2304 3072 3086 4608 4629 6172 9216 9258 12344 13887 18516 24688 27774 37032 49376 55548 74064 98752 111096 148128 197504 222192 296256 395008 444384 592512 790016 888768 1185024 1580032 1777536 2370048 2380849 3555072 4740096 4761698 7110144 7142547 9523396 14220288 14285094 19046792 21427641 28570188 38093584 42855282 57140376 76187168 85710564 114280752 152374336 171421128 228561504 304748672 342842256 457123008 609497344 685684512 914246016 1218994688 1371369024 1828492032 2437989376 2742738048 3656984064 5485476096 7313968128 10970952192 21941904384