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163997568 = 273376779
BaseRepresentation
bin10011100011001…
…10011110000000
3102102120221101000
421301212132000
5313440410233
624135012000
74030646010
oct1161463600
9372527330
10163997568
1184632889
1246b0a000
1327c901a7
1417acdc40
15e5e6d13
hex9c66780

163997568 has 128 divisors (see below), whose sum is σ = 553248000. Its totient is φ = 46849536.

The previous prime is 163997563. The next prime is 163997593. The reversal of 163997568 is 865799361.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163997563) 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, 20803 + ... + 27581.

It is an arithmetic number, because the mean of its divisors is an integer number (4322250).

Almost surely, 2163997568 is an apocalyptic number.

163997568 is a gapful number since it is divisible by the number (18) 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 163997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276624000).

163997568 is an abundant number, since it is smaller than the sum of its proper divisors (389250432).

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

163997568 is an equidigital number, since it uses as much as digits as its factorization.

163997568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6809 (or 6791 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 163997568 is about 12806.1535208664. The cubic root of 163997568 is about 547.3676617658.

The spelling of 163997568 in words is "one hundred sixty-three million, nine hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 6779 8064 12096 13558 20337 24192 27116 40674 47453 54232 61011 81348 94906 108464 122022 142359 162696 183033 189812 216928 244044 284718 325392 366066 379624 427077 433856 488088 569436 650784 732132 759248 854154 867712 976176 1138872 1281231 1301568 1464264 1518496 1708308 1952352 2277744 2562462 2603136 2928528 3036992 3416616 3904704 4555488 5124924 5857056 6073984 6833232 7809408 9110976 10249848 11714112 13666464 18221952 20499696 23428224 27332928 40999392 54665856 81998784 163997568