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9996124116 = 2231132327211
BaseRepresentation
bin10010100111101000…
…01011111111010100
3221210122110201102010
421103310023333110
5130433001432431
64331523344220
7502466436666
oct112364137724
927718421363
109996124116
11426a608000
121b2b822070
13c33c61254
146ab834536
153d7894846
hex253d0bfd4

9996124116 has 96 divisors (see below), whose sum is σ = 26771383296. Its totient is φ = 2897320800.

The previous prime is 9996124097. The next prime is 9996124141. The reversal of 9996124116 is 6114216999.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 353751 + ... + 380961.

It is an arithmetic number, because the mean of its divisors is an integer number (278868576).

Almost surely, 29996124116 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 9996124116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13385691648).

9996124116 is an abundant number, since it is smaller than the sum of its proper divisors (16775259180).

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

9996124116 is a wasteful number, since it uses less digits than its factorization.

9996124116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27274 (or 27250 counting only the distinct ones).

The product of its digits is 209952, while the sum is 48.

The square root of 9996124116 is about 99980.6187018264. The cubic root of 9996124116 is about 2154.1563094316.

The spelling of 9996124116 in words is "nine billion, nine hundred ninety-six million, one hundred twenty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1331 1452 1518 2662 2783 3036 3993 5324 5566 7986 8349 11132 15972 16698 27211 30613 33396 54422 61226 81633 91839 108844 122452 163266 183678 299321 326532 367356 598642 625853 897963 1197284 1251706 1795926 1877559 2503412 3292531 3591852 3755118 6585062 6884383 7510236 9877593 13170124 13768766 19755186 20653149 27537532 36217841 39510372 41306298 72435682 75728213 82612596 108653523 144871364 151456426 217307046 227184639 302912852 434614092 454369278 833010343 908738556 1666020686 2499031029 3332041372 4998062058 9996124116