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99163116 = 22341321811
BaseRepresentation
bin1011110100100…
…01101111101100
320220121000020000
411322101233230
5200341204431
613501224300
72312605203
oct572215754
9226530200
1099163116
1150a7a798
1229262090
131770c900
14d25423a
158a8b9e6
hex5e91bec

99163116 has 90 divisors (see below), whose sum is σ = 280861812. Its totient is φ = 30494880.

The previous prime is 99163111. The next prime is 99163121. The reversal of 99163116 is 61136199.

99163116 is a `hidden beast` number, since 9 + 9 + 1 + 631 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (99163111) and next prime (99163121).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99163111) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 53851 + ... + 55661.

Almost surely, 299163116 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 99163116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140430906).

99163116 is an abundant number, since it is smaller than the sum of its proper divisors (181698696).

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

99163116 is a wasteful number, since it uses less digits than its factorization.

99163116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1829 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 99163116 is about 9958.0678848861. The cubic root of 99163116 is about 462.8604306057.

The spelling of 99163116 in words is "ninety-nine million, one hundred sixty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 1811 2028 2106 3042 3622 4212 4563 5433 6084 7244 9126 10866 13689 16299 18252 21732 23543 27378 32598 47086 48897 54756 65196 70629 94172 97794 141258 146691 195588 211887 282516 293382 306059 423774 586764 612118 635661 847548 918177 1224236 1271322 1836354 1906983 2542644 2754531 3672708 3813966 5509062 7627932 8263593 11018124 16527186 24790779 33054372 49581558 99163116