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21666662416 = 24747512
BaseRepresentation
bin10100001011011011…
…110000100000010000
32001220222122111021101
4110023123300200100
5323333131144131
613541543434144
71364630410000
oct241333604020
961828574241
1021666662416
1192092a2183
124248155954
132073a81009
1410977b0000
1586c236c61
hex50b6f0810

21666662416 has 75 divisors (see below), whose sum is σ = 49038067743. Its totient is φ = 9273348000.

The previous prime is 21666662359. The next prime is 21666662431. The reversal of 21666662416 is 61426666612.

The square root of 21666662416 is 147196.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28850041 + ... + 28850791.

Almost surely, 221666662416 is an apocalyptic number.

21666662416 is the 147196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21666662416

21666662416 is an abundant number, since it is smaller than the sum of its proper divisors (27371405327).

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

21666662416 is an frugal number, since it uses more digits than its factorization.

21666662416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 760 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The spelling of 21666662416 in words is "twenty-one billion, six hundred sixty-six million, six hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 751 784 1372 1502 2401 2744 3004 4802 5257 5488 6008 9604 10514 12016 19208 21028 36799 38416 42056 73598 84112 147196 257593 294392 515186 564001 588784 1030372 1128002 1803151 2060744 2256004 3606302 3948007 4121488 4512008 7212604 7896014 9024016 14425208 15792028 27636049 28850416 31584056 55272098 63168112 110544196 193452343 221088392 386904686 442176784 773809372 1354166401 1547618744 2708332802 3095237488 5416665604 10833331208 21666662416