Search a number
-
+
163649664 = 2732142057
BaseRepresentation
bin10011100000100…
…01100010000000
3102101221021010200
421300101202000
5313343242124
624123325200
74024666503
oct1160214200
9371837120
10163649664
1184415462
1246980800
1327b9aa29
1417a3d13a
15e578bc9
hex9c11880

163649664 has 48 divisors (see below), whose sum is σ = 470922270. Its totient is φ = 54549504.

The previous prime is 163649663. The next prime is 163649671. The reversal of 163649664 is 466946361.

163649664 is a `hidden beast` number, since 1 + 636 + 4 + 9 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 163635264 + 14400 = 12792^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (163649663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69877 + ... + 72180.

Almost surely, 2163649664 is an apocalyptic number.

It is an amenable number.

163649664 is an abundant number, since it is smaller than the sum of its proper divisors (307272606).

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

163649664 is a wasteful number, since it uses less digits than its factorization.

163649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142077 (or 142062 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 163649664 is about 12792.5628394001. The cubic root of 163649664 is about 546.9803263102.

The spelling of 163649664 in words is "one hundred sixty-three million, six hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 142057 284114 426171 568228 852342 1136456 1278513 1704684 2272912 2557026 3409368 4545824 5114052 6818736 9091648 10228104 13637472 18183296 20456208 27274944 40912416 54549888 81824832 163649664