Search a number
-
+
20306323944 = 233394010759
BaseRepresentation
bin10010111010010110…
…011110100111101000
31221102011221010201000
4102322112132213220
5313041404331234
613154550555000
71316131622424
oct227226364750
957364833630
1020306323944
118680432805
123b28668a60
131bb7caacca
14da8c63b84
157dcac8899
hex4ba59e9e8

20306323944 has 32 divisors (see below), whose sum is σ = 56406456000. Its totient is φ = 6768774576.

The previous prime is 20306323937. The next prime is 20306323963. The reversal of 20306323944 is 44932360302.

20306323944 is a `hidden beast` number, since 20 + 306 + 323 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20306323899 and 20306323908.

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 7 ways as a sum of consecutive naturals, for example, 47005164 + ... + 47005595.

It is an arithmetic number, because the mean of its divisors is an integer number (1762701750).

Almost surely, 220306323944 is an apocalyptic number.

20306323944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20306323944 is an abundant number, since it is smaller than the sum of its proper divisors (36100132056).

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

20306323944 is a wasteful number, since it uses less digits than its factorization.

20306323944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94010774 (or 94010764 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 20306323944 in words is "twenty billion, three hundred six million, three hundred twenty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 94010759 188021518 282032277 376043036 564064554 752086072 846096831 1128129108 1692193662 2256258216 2538290493 3384387324 5076580986 6768774648 10153161972 20306323944