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163408896 = 21032717149
BaseRepresentation
bin10011011110101…
…10110000000000
3102101111000212100
421233112300000
5313313041041
624114230400
74022644530
oct1157266000
9371430770
10163408896
1184270582
1246885400
1327b15271
14179b94c0
15e52c6b6
hex9bd6c00

163408896 has 264 divisors, whose sum is σ = 574797600. Its totient is φ = 43646976.

The previous prime is 163408891. The next prime is 163408907. The reversal of 163408896 is 698804361.

163408896 is a `hidden beast` number, since 1 + 634 + 0 + 8 + 8 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163408891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096630 + ... + 1096778.

Almost surely, 2163408896 is an apocalyptic number.

163408896 is a gapful number since it is divisible by the number (16) 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 163408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287398800).

163408896 is an abundant number, since it is smaller than the sum of its proper divisors (411388704).

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

163408896 is a wasteful number, since it uses less digits than its factorization.

163408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 163408896 is about 12783.1489078396. The cubic root of 163408896 is about 546.7119481296.

The spelling of 163408896 in words is "one hundred sixty-three million, four hundred eight thousand, eight hundred ninety-six".