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9934870824 = 23323115728351
BaseRepresentation
bin10010100000010101…
…00001100100101000
3221122101012201200200
421100022201210220
5130321311331244
64321454432200
7501124002654
oct112012414450
927571181620
109934870824
114238a8054a
121b13202660
13c243659b8
146a364ba64
153d22e5669
hex2502a1928

9934870824 has 96 divisors (see below), whose sum is σ = 27952803840. Its totient is φ = 3184272000.

The previous prime is 9934870817. The next prime is 9934870831. The reversal of 9934870824 is 4280784399.

It is an interprime number because it is at equal distance from previous prime (9934870817) and next prime (9934870831).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336249 + ... + 364599.

It is an arithmetic number, because the mean of its divisors is an integer number (291175040).

Almost surely, 29934870824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9934870824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976401920).

9934870824 is an abundant number, since it is smaller than the sum of its proper divisors (18017933016).

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

9934870824 is a wasteful number, since it uses less digits than its factorization.

9934870824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28551 (or 28544 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 9934870824 is about 99673.8221600837. The cubic root of 9934870824 is about 2149.7472804812.

The spelling of 9934870824 in words is "nine billion, nine hundred thirty-four million, eight hundred seventy thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 157 186 248 279 314 372 471 558 628 744 942 1116 1256 1413 1884 2232 2826 3768 4867 5652 9734 11304 14601 19468 28351 29202 38936 43803 56702 58404 85053 87606 113404 116808 170106 175212 226808 255159 340212 350424 510318 680424 878881 1020636 1757762 2041272 2636643 3515524 4451107 5273286 7031048 7909929 8902214 10546572 13353321 15819858 17804428 21093144 26706642 31639716 35608856 40059963 53413284 63279432 80119926 106826568 137984317 160239852 275968634 320479704 413952951 551937268 827905902 1103874536 1241858853 1655811804 2483717706 3311623608 4967435412 9934870824