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21470454784 = 2101922412
BaseRepresentation
bin10011111111101111…
…010010010000000000
32001102022110010000001
4103333233102100000
5322432414023114
613510254205344
71360025566042
oct237757222000
961368403001
1021470454784
11911856a509
1241b24b3854
132042223c1c
1410796d7a92
15859dcb374
hex4ffbd2400

21470454784 has 99 divisors (see below), whose sum is σ = 45486515961. Its totient is φ = 10128015360.

The previous prime is 21470454779. The next prime is 21470454791. The reversal of 21470454784 is 48745407412.

The square root of 21470454784 is 146528.

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

It can be written as a sum of positive squares in only one way, i.e., 16147293184 + 5323161600 = 127072^2 + 72960^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 89088904 + ... + 89089144.

Almost surely, 221470454784 is an apocalyptic number.

21470454784 is the 146528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21470454784

21470454784 is an abundant number, since it is smaller than the sum of its proper divisors (24016061177).

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

21470454784 is an frugal number, since it uses more digits than its factorization.

21470454784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 46.

The spelling of 21470454784 in words is "twenty-one billion, four hundred seventy million, four hundred fifty-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 241 256 304 361 482 512 608 722 964 1024 1216 1444 1928 2432 2888 3856 4579 4864 5776 7712 9158 9728 11552 15424 18316 19456 23104 30848 36632 46208 58081 61696 73264 87001 92416 116162 123392 146528 174002 184832 232324 246784 293056 348004 369664 464648 586112 696008 929296 1103539 1172224 1392016 1858592 2207078 2344448 2784032 3717184 4414156 4688896 5568064 7434368 8828312 11136128 14868736 17656624 20967241 22272256 29737472 35313248 41934482 44544512 59474944 70626496 83868964 89089024 141252992 167737928 282505984 335475856 565011968 670951712 1130023936 1341903424 2683806848 5367613696 10735227392 21470454784