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163465504020 = 2232571319525241
BaseRepresentation
bin1001100000111101001…
…1011010010100010100
3120121221012011222210200
42120033103122110110
510134234132112040
6203032305020500
714544553600320
oct2301723322424
9517835158720
10163465504020
1163364019675
1227820324730
1312551218a10
147ca9c92980
1543bad33630
hex260f4da514

163465504020 has 288 divisors, whose sum is σ = 642391975680. Its totient is φ = 32674129920.

The previous prime is 163465504019. The next prime is 163465504061. The reversal of 163465504020 is 20405564361.

163465504020 is a `hidden beast` number, since 1 + 6 + 3 + 46 + 550 + 40 + 20 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48600 + ... + 573840.

Almost surely, 2163465504020 is an apocalyptic number.

163465504020 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 163465504020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321195987840).

163465504020 is an abundant number, since it is smaller than the sum of its proper divisors (478926471660).

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

163465504020 is a wasteful number, since it uses less digits than its factorization.

163465504020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525295 (or 525290 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 163465504020 in words is "one hundred sixty-three billion, four hundred sixty-five million, five hundred four thousand, twenty".