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99999966 = 23112181761
BaseRepresentation
bin1011111010111…
…10000011011110
320222011112011110
411331132003132
5201044444331
613531202450
72322662043
oct575360336
9228145143
1099999966
11514a1500
12295a6426
13179437a1
14d3d11ca
158ba4946
hex5f5e0de

99999966 has 48 divisors (see below), whose sum is σ = 221339664. Its totient is φ = 30096000.

The previous prime is 99999959. The next prime is 99999971. The reversal of 99999966 is 66999999.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 99999897 and 99999906.

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 23 ways as a sum of consecutive naturals, for example, 131026 + ... + 131786.

It is an arithmetic number, because the mean of its divisors is an integer number (4611243).

Almost surely, 299999966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99999966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110669832).

99999966 is an abundant number, since it is smaller than the sum of its proper divisors (121339698).

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

99999966 is a wasteful number, since it uses less digits than its factorization.

99999966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 958 counting only the distinct ones).

The product of its digits is 19131876, while the sum is 66.

The square root of 99999966 is about 9999.9982999999. The cubic root of 99999966 is about 464.1588307566.

The spelling of 99999966 in words is "ninety-nine million, nine hundred ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 121 181 242 362 363 543 726 761 1086 1522 1991 2283 3982 4566 5973 8371 11946 16742 21901 25113 43802 50226 65703 92081 131406 137741 184162 275482 276243 413223 552486 826446 1515151 3030302 4545453 9090906 16666661 33333322 49999983 99999966