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163420164 = 223229315493
BaseRepresentation
bin10011011110110…
…01100000000100
3102101111121022200
421233121200010
5313313421124
624114354500
74023022425
oct1157314004
9371447280
10163420164
1184278a96
124688ba30
1327b1a42b
14179bd64c
15e530bc9
hex9bd9804

163420164 has 36 divisors (see below), whose sum is σ = 414526476. Its totient is φ = 54283968.

The previous prime is 163420163. The next prime is 163420177. The reversal of 163420164 is 461024361.

163420164 is a `hidden beast` number, since 1 + 634 + 20 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80245764 + 83174400 = 8958^2 + 9120^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (163420163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2802 + ... + 18294.

Almost surely, 2163420164 is an apocalyptic number.

It is an amenable number.

163420164 is an abundant number, since it is smaller than the sum of its proper divisors (251106312).

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

163420164 is a wasteful number, since it uses less digits than its factorization.

163420164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15796 (or 15791 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 163420164 is about 12783.5896367178. The cubic root of 163420164 is about 546.7245141706.

The spelling of 163420164 in words is "one hundred sixty-three million, four hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 293 586 879 1172 1758 2637 3516 5274 10548 15493 30986 46479 61972 92958 139437 185916 278874 557748 4539449 9078898 13618347 18157796 27236694 40855041 54473388 81710082 163420164