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163997192378880 = 2932572145263953
BaseRepresentation
bin100101010010011110010010…
…011001010101101000000000
3210111122222102022100211001200
4211102132102121111220000
5132443412222222111010
61340443134202101200
746354256210664600
oct4522362231255000
9714588368324050
10163997192378880
1148288900777613
1216487907aaa800
137067b3ac24a93
142c6d713a3cc00
1513e5e23ad9cc0
hex952792655a00

163997192378880 has 360 divisors, whose sum is σ = 660697940892132. Its totient is φ = 37485072285696.

The previous prime is 163997192378843. The next prime is 163997192378947. The reversal of 163997192378880 is 88873291799361.

163997192378880 is a `hidden beast` number, since 1 + 6 + 3 + 99 + 71 + 92 + 378 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162241970155776 + 1755222223104 = 12737424^2 + 1324848^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 163997192378880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71503017 + ... + 73760936.

Almost surely, 2163997192378880 is an apocalyptic number.

163997192378880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163997192378880 is an abundant number, since it is smaller than the sum of its proper divisors (496700748513252).

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

163997192378880 is a wasteful number, since it uses less digits than its factorization.

163997192378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145263996 (or 145263970 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 81.

The spelling of 163997192378880 in words is "one hundred sixty-three trillion, nine hundred ninety-seven billion, one hundred ninety-two million, three hundred seventy-eight thousand, eight hundred eighty".