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163280761920 = 26325269210761
BaseRepresentation
bin1001100000010001001…
…0101011010001000000
3120121110022120010021200
42120010102223101000
510133344333340140
6203002105221200
714540151401523
oct2300422532100
9517408503250
10163280761920
1163279808151
122778a491800
1312521b74573
147c8d522bba
1543a99e0030
hex26044ab440

163280761920 has 168 divisors, whose sum is σ = 563708260440. Its totient is φ = 43379466240.

The previous prime is 163280761901. The next prime is 163280761927. The reversal of 163280761920 is 29167082361.

163280761920 is a `hidden beast` number, since 1 + 6 + 3 + 2 + 8 + 0 + 7 + 619 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4252083264 + 159028678656 = 65208^2 + 398784^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (163280761927) 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, 669340 + ... + 880100.

Almost surely, 2163280761920 is an apocalyptic number.

163280761920 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 163280761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281854130220).

163280761920 is an abundant number, since it is smaller than the sum of its proper divisors (400427498520).

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

163280761920 is a wasteful number, since it uses less digits than its factorization.

163280761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211053 (or 211040 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 163280761920 in words is "one hundred sixty-three billion, two hundred eighty million, seven hundred sixty-one thousand, nine hundred twenty".