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163500064 = 2572132617
BaseRepresentation
bin10011011111011…
…01000000100000
3102101122122220221
421233231000200
5313324000224
624120212424
74023504400
oct1157550040
9371578827
10163500064
1184323022
124690a114
1327b47900
1417a00800
15e5496e4
hex9bed020

163500064 has 108 divisors (see below), whose sum is σ = 406120554. Its totient is φ = 64576512.

The previous prime is 163500053. The next prime is 163500097. The reversal of 163500064 is 460005361.

It can be written as a sum of positive squares in 3 ways, for example, as 34904464 + 128595600 = 5908^2 + 11340^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 264684 + ... + 265300.

Almost surely, 2163500064 is an apocalyptic number.

163500064 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 163500064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203060277).

163500064 is an abundant number, since it is smaller than the sum of its proper divisors (242620490).

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

163500064 is a wasteful number, since it uses less digits than its factorization.

163500064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 163500064 is about 12786.7143551422. The cubic root of 163500064 is about 546.8136018537.

The spelling of 163500064 in words is "one hundred sixty-three million, five hundred thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 169 182 196 208 224 338 364 392 416 617 637 676 728 784 1183 1234 1274 1352 1456 1568 2366 2468 2548 2704 2912 4319 4732 4936 5096 5408 8021 8281 8638 9464 9872 10192 16042 16562 17276 18928 19744 20384 30233 32084 33124 34552 37856 56147 60466 64168 66248 69104 104273 112294 120932 128336 132496 138208 208546 224588 241864 256672 264992 393029 417092 449176 483728 729911 786058 834184 898352 967456 1459822 1572116 1668368 1796704 2919644 3144232 3336736 5109377 5839288 6288464 10218754 11678576 12576928 20437508 23357152 40875016 81750032 163500064