Search a number
-
+
19784163168 = 25347411172
BaseRepresentation
bin10010011011001110…
…100101111101100000
31220001210101121210000
4102123032211331200
5311004221210133
613031055140000
71300161420000
oct223316457540
956053347700
1019784163168
11843270a680
123a01814600
131b33a67133
14d59780000
157abd34413
hex49b3a5f60

19784163168 has 900 divisors, whose sum is σ = 78660852732. Its totient is φ = 4836464640.

The previous prime is 19784163143. The next prime is 19784163173. The reversal of 19784163168 is 86136148791.

19784163168 is a `hidden beast` number, since 197 + 8 + 416 + 31 + 6 + 8 = 666.

It is a super-2 number, since 2×197841631682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 1163774296 + ... + 1163774312.

Almost surely, 219784163168 is an apocalyptic number.

19784163168 is a gapful number since it is divisible by the number (18) 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 19784163168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39330426366).

19784163168 is an abundant number, since it is smaller than the sum of its proper divisors (58876689564).

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

19784163168 is an equidigital number, since it uses as much as digits as its factorization.

19784163168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 40 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 19784163168 in words is "nineteen billion, seven hundred eighty-four million, one hundred sixty-three thousand, one hundred sixty-eight".