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163997316 = 223272312999
BaseRepresentation
bin10011100011001…
…10011010000100
3102102120221000200
421301212122010
5313440403231
624135010500
74030645200
oct1161463204
9372527020
10163997316
118463267a
1246b09a30
1327c90042
1417acdb00
15e5e6be6
hex9c66684

163997316 has 108 divisors (see below), whose sum is σ = 497952000. Its totient is φ = 45329760.

The previous prime is 163997279. The next prime is 163997329. The reversal of 163997316 is 613799361.

163997316 is a `hidden beast` number, since 1 + 639 + 9 + 7 + 3 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53185 + ... + 56183.

Almost surely, 2163997316 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 163997316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248976000).

163997316 is an abundant number, since it is smaller than the sum of its proper divisors (333954684).

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

163997316 is a wasteful number, since it uses less digits than its factorization.

163997316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3042 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 163997316 is about 12806.1436818427. The cubic root of 163997316 is about 547.3673814024.

The spelling of 163997316 in words is "one hundred sixty-three million, nine hundred ninety-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 651 868 882 1116 1302 1519 1764 1953 2604 2999 3038 3906 4557 5998 6076 7812 8997 9114 11996 13671 17994 18228 20993 26991 27342 35988 41986 53982 54684 62979 83972 92969 107964 125958 146951 185938 188937 251916 278907 293902 371876 377874 440853 557814 587804 650783 755748 836721 881706 1115628 1301566 1322559 1673442 1763412 1952349 2603132 2645118 3346884 3904698 4555481 5290236 5857047 7809396 9110962 11714094 13666443 18221924 23428188 27332886 40999329 54665772 81998658 163997316