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9000998916 = 22371312596547
BaseRepresentation
bin10000110001000000…
…00101100000000100
3212020021222010021020
420120200011200010
5121413223431131
64045054351140
7436024141230
oct103040054004
925207863236
109000998916
1138a9913788
1218b24bb4b0
13b05a3cb80
146155d55c0
1537a327996
hex218805804

9000998916 has 96 divisors (see below), whose sum is σ = 25873505280. Its totient is φ = 2371641984.

The previous prime is 9000998911. The next prime is 9000998921. The reversal of 9000998916 is 6198990009.

It is an interprime number because it is at equal distance from previous prime (9000998911) and next prime (9000998921).

It is not an unprimeable number, because it can be changed into a prime (9000998911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1371555 + ... + 1378101.

It is an arithmetic number, because the mean of its divisors is an integer number (269515680).

Almost surely, 29000998916 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 9000998916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936752640).

9000998916 is an abundant number, since it is smaller than the sum of its proper divisors (16872506364).

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

9000998916 is a wasteful number, since it uses less digits than its factorization.

9000998916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7831 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 51.

The square root of 9000998916 is about 94873.5944085603. The cubic root of 9000998916 is about 2080.1607768350.

The spelling of 9000998916 in words is "nine billion, nine hundred ninety-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1259 2518 3777 5036 6547 7554 8813 13094 15108 16367 17626 19641 26188 26439 32734 35252 39282 45829 49101 52878 65468 78564 85111 91658 98202 105756 114569 137487 170222 183316 196404 229138 255333 274974 340444 343707 458276 510666 549948 595777 687414 1021332 1191554 1374828 1787331 2383108 3574662 7149324 8242673 16485346 24728019 32970692 49456038 57698711 98912076 107154749 115397422 173096133 214309498 230794844 321464247 346192266 428618996 642928494 692384532 750083243 1285856988 1500166486 2250249729 3000332972 4500499458 9000998916