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163620864 = 2113311269
BaseRepresentation
bin10011100000010…
…10100000000000
3102101212210122000
421300022200000
5313341331424
624122544000
74024516521
oct1160124000
9371783560
10163620864
11843a5860
1246968000
1327b8a8a4
1417a32848
15e5703c9
hex9c0a800

163620864 has 192 divisors, whose sum is σ = 530712000. Its totient is φ = 49397760.

The previous prime is 163620851. The next prime is 163620887. The reversal of 163620864 is 468026361.

163620864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1636208642 = 53543574272212992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608122 + ... + 608390.

It is an arithmetic number, because the mean of its divisors is an integer number (2764125).

Almost surely, 2163620864 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 163620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265356000).

163620864 is an abundant number, since it is smaller than the sum of its proper divisors (367091136).

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

163620864 is a wasteful number, since it uses less digits than its factorization.

163620864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 163620864 is about 12791.4371358343. The cubic root of 163620864 is about 546.9482375233.

It can be divided in two parts, 1636 and 20864, that added together give a square (22500 = 1502).

The spelling of 163620864 in words is "one hundred sixty-three million, six hundred twenty thousand, eight hundred sixty-four".