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991068512 = 25723120389
BaseRepresentation
bin111011000100101…
…000000101100000
32120001212111102012
4323010220011200
54012203143022
6242202012052
733362641400
oct7304500540
92501774365
10991068512
11469483495
12237aa7028
1312a430a95
14958a4800
155c019de2
hex3b128160

991068512 has 72 divisors (see below), whose sum is σ = 2343055680. Its totient is φ = 411022080.

The previous prime is 991068511. The next prime is 991068521. The reversal of 991068512 is 215860199.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 991068512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991068511) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 38414 + ... + 58802.

It is an arithmetic number, because the mean of its divisors is an integer number (32542440).

Almost surely, 2991068512 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 991068512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171527840).

991068512 is an abundant number, since it is smaller than the sum of its proper divisors (1351987168).

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

991068512 is a wasteful number, since it uses less digits than its factorization.

991068512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20444 (or 20429 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 991068512 is about 31481.2406362901. The cubic root of 991068512 is about 997.0139295921.

The spelling of 991068512 in words is "nine hundred ninety-one million, sixty-eight thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 392 434 496 784 868 992 1519 1568 1736 3038 3472 6076 6944 12152 20389 24304 40778 48608 81556 142723 163112 285446 326224 570892 632059 652448 999061 1141784 1264118 1998122 2283568 2528236 3996244 4424413 4567136 5056472 7992488 8848826 10112944 15984976 17697652 20225888 30970891 31969952 35395304 61941782 70790608 123883564 141581216 247767128 495534256 991068512