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163225854960 = 2435717311071723
BaseRepresentation
bin1001100000000100000…
…1001110001111110000
3120121022111020120002120
42120001001032033300
510133241304324320
6202552424314240
714535613606110
oct2300101161760
9517274216076
10163225854960
11632508157a3
1227774012980
131251368b83c
147c8610d040
1543a4c96440
hex260104e3f0

163225854960 has 640 divisors, whose sum is σ = 638331715584. Its totient is φ = 33644298240.

The previous prime is 163225854893. The next prime is 163225854971. The reversal of 163225854960 is 69458522361.

It is a happy number.

163225854960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94732659 + ... + 94734381.

Almost surely, 2163225854960 is an apocalyptic number.

163225854960 is a gapful number since it is divisible by the number (10) 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 163225854960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319165857792).

163225854960 is an abundant number, since it is smaller than the sum of its proper divisors (475105860624).

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

163225854960 is a wasteful number, since it uses less digits than its factorization.

163225854960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 163225854960 in words is "one hundred sixty-three billion, two hundred twenty-five million, eight hundred fifty-four thousand, nine hundred sixty".