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9969402094096 = 24433218232
BaseRepresentation
bin1001000100010010111010…
…1010111010001000010000
31022022001202202212120202011
42101010232222322020100
52301314313414002341
633111514033432304
72046160035420454
oct221045652721020
938261682776664
109969402094096
1131a3aaa642485
12115017870b694
13574158c4ba63
14266743524664
151244d8ab1b81
hex9112eaba210

9969402094096 has 45 divisors (see below), whose sum is σ = 19371054543789. Its totient is φ = 4970461010688.

The previous prime is 9969402094019. The next prime is 9969402094123. The reversal of 9969402094096 is 6904902049699.

The square root of 9969402094096 is 3157436.

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., 1117967875600 + 8851434218496 = 1057340^2 + 2975136^2 .

It is a super-3 number, since 3×99694020940963 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 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, 5468678241 + ... + 5468680063.

Almost surely, 29969402094096 is an apocalyptic number.

9969402094096 is the 3157436-th square number.

It is an amenable number.

9969402094096 is a deficient number, since it is larger than the sum of its proper divisors (9401652449693).

9969402094096 is an frugal number, since it uses more digits than its factorization.

9969402094096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 67.

The spelling of 9969402094096 in words is "nine trillion, nine hundred sixty-nine billion, four hundred two million, ninety-four thousand, ninety-six".

Divisors: 1 2 4 8 16 433 866 1732 1823 3464 3646 6928 7292 14584 29168 187489 374978 749956 789359 1499912 1578718 2999824 3157436 3323329 6314872 6646658 12629744 13293316 26586632 53173264 341792447 683584894 1367169788 1439001457 2734339576 2878002914 5468679152 5756005828 11512011656 23024023312 623087630881 1246175261762 2492350523524 4984701047048 9969402094096