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164014912 = 26171271187
BaseRepresentation
bin10011100011010…
…10101101000000
3102102121211011101
421301222231000
5313441434122
624135224144
74031050405
oct1161525500
9372554141
10164014912
1184644916
1246b18054
1327c98059
1417ad62ac
15e5ec027
hex9c6ab40

164014912 has 56 divisors (see below), whose sum is σ = 347618304. Its totient is φ = 76511232.

The previous prime is 164014853. The next prime is 164014927. The reversal of 164014912 is 219410461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137583 + ... + 138769.

Almost surely, 2164014912 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 164014912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173809152).

164014912 is an abundant number, since it is smaller than the sum of its proper divisors (183603392).

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

164014912 is a wasteful number, since it uses less digits than its factorization.

164014912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 164014912 is about 12806.8306774159. The cubic root of 164014912 is about 547.3869571944.

The spelling of 164014912 in words is "one hundred sixty-four million, fourteen thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 136 254 272 508 544 1016 1088 1187 2032 2159 2374 4064 4318 4748 8128 8636 9496 17272 18992 20179 34544 37984 40358 69088 75968 80716 138176 150749 161432 301498 322864 602996 645728 1205992 1291456 2411984 2562733 4823968 5125466 9647936 10250932 20501864 41003728 82007456 164014912