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99516168 = 23332915887
BaseRepresentation
bin1011110111001…
…11111100001000
320221020221112000
411323213330020
5200434004133
613512551000
72315605413
oct573477410
9227227460
1099516168
11511a0a74
12293b2460
131780450b
14d306b7a
158b0b413
hex5ee7f08

99516168 has 64 divisors (see below), whose sum is σ = 285984000. Its totient is φ = 32026176.

The previous prime is 99516149. The next prime is 99516187. The reversal of 99516168 is 86161599.

It is an interprime number because it is at equal distance from previous prime (99516149) and next prime (99516187).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1680 + ... + 14207.

It is an arithmetic number, because the mean of its divisors is an integer number (4468500).

Almost surely, 299516168 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 99516168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142992000).

99516168 is an abundant number, since it is smaller than the sum of its proper divisors (186467832).

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

99516168 is a wasteful number, since it uses less digits than its factorization.

99516168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15931 (or 15921 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 99516168 is about 9975.7790673210. The cubic root of 99516168 is about 463.4090897413.

The spelling of 99516168 in words is "ninety-nine million, five hundred sixteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 15887 31774 47661 63548 95322 127096 142983 190644 285966 381288 428949 460723 571932 857898 921446 1143864 1382169 1715796 1842892 2764338 3431592 3685784 4146507 5528676 8293014 11057352 12439521 16586028 24879042 33172056 49758084 99516168