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9990083316 = 22310130726849
BaseRepresentation
bin10010100110111010…
…01001001011110100
3221210020002210222210
421103131021023310
5130424430131231
64331150053420
7502364210223
oct112335111364
927706083883
109990083316
114267161504
121b297aa270
13c32927805
146aab00cba
153d709ea46
hex2537492f4

9990083316 has 48 divisors (see below), whose sum is σ = 23618548800. Its totient is φ = 3286195200.

The previous prime is 9990083309. The next prime is 9990083333. The reversal of 9990083316 is 6133800999.

It is a happy number.

9990083316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 358660 + ... + 385508.

It is an arithmetic number, because the mean of its divisors is an integer number (492053100).

Almost surely, 29990083316 is an apocalyptic number.

It is an amenable number.

9990083316 is an abundant number, since it is smaller than the sum of its proper divisors (13628465484).

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

9990083316 is a wasteful number, since it uses less digits than its factorization.

9990083316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27264 (or 27262 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 9990083316 is about 99950.4042813234. The cubic root of 9990083316 is about 2153.7222928921.

The spelling of 9990083316 in words is "nine billion, nine hundred ninety million, eighty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 101 202 303 307 404 606 614 921 1212 1228 1842 3684 26849 31007 53698 62014 80547 93021 107396 124028 161094 186042 322188 372084 2711749 5423498 8135247 8242643 10846996 16270494 16485286 24727929 32540988 32970572 49455858 98911716 832506943 1665013886 2497520829 3330027772 4995041658 9990083316