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9929681970 = 2351353480391
BaseRepresentation
bin10010011111101101…
…01110110000110010
3221122000110002220220
421033312232300302
5130313444310340
64321151313510
7501031622055
oct111766566062
927560402826
109929681970
11423605703a
121b1151b896
13c23269c80
146a2a9aa9c
153d1b1ced0
hex24fdaec32

9929681970 has 64 divisors (see below), whose sum is σ = 26148697344. Its totient is φ = 2398106880.

The previous prime is 9929681947. The next prime is 9929681977. The reversal of 9929681970 is 791869299.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9929681977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219526 + ... + 260865.

It is an arithmetic number, because the mean of its divisors is an integer number (408573396).

Almost surely, 29929681970 is an apocalyptic number.

9929681970 is an abundant number, since it is smaller than the sum of its proper divisors (16219015374).

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

9929681970 is a wasteful number, since it uses less digits than its factorization.

9929681970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480467.

The product of its (nonzero) digits is 4408992, while the sum is 60.

The square root of 9929681970 is about 99647.7895891324. The cubic root of 9929681970 is about 2149.3729536102.

The spelling of 9929681970 in words is "nine billion, nine hundred twenty-nine million, six hundred eighty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 530 689 795 1378 1590 2067 3445 4134 6890 10335 20670 480391 960782 1441173 2401955 2882346 4803910 6245083 7205865 12490166 14411730 18735249 25460723 31225415 37470498 50921446 62450830 76382169 93676245 127303615 152764338 187352490 254607230 330989399 381910845 661978798 763821690 992968197 1654946995 1985936394 3309893990 4964840985 9929681970