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163199904 = 25372310559
BaseRepresentation
bin10011011101000…
…11101110100000
3102101002102011220
421232203232200
5313234344104
624105535040
74021114320
oct1156435640
9371072156
10163199904
118413855a
12467a4480
1327a710ba
1417963280
15e4da7d9
hex9ba3ba0

163199904 has 96 divisors (see below), whose sum is σ = 510935040. Its totient is φ = 44596992.

The previous prime is 163199899. The next prime is 163199909. The reversal of 163199904 is 409991361.

163199904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163199899) and next prime (163199909).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (163199909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10177 + ... + 20735.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2163199904 is an apocalyptic number.

163199904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163199904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255467520).

163199904 is an abundant number, since it is smaller than the sum of its proper divisors (347735136).

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

163199904 is a wasteful number, since it uses less digits than its factorization.

163199904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10602 (or 10594 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 163199904 is about 12774.9717807908. The cubic root of 163199904 is about 546.4787760662.

The spelling of 163199904 in words is "one hundred sixty-three million, one hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 10559 15456 21118 31677 42236 63354 73913 84472 126708 147826 168944 221739 242857 253416 295652 337888 443478 485714 506832 591304 728571 886956 971428 1013664 1182608 1457142 1699999 1773912 1942856 2365216 2914284 3399998 3547824 3885712 5099997 5828568 6799996 7095648 7771424 10199994 11657136 13599992 20399988 23314272 27199984 40799976 54399968 81599952 163199904