Search a number
-
+
20504673072 = 2434135322963
BaseRepresentation
bin10011000110001011…
…000111101100110000
31221221000011022120000
4103012023013230300
5313443144014242
613230354150000
71324060562652
oct230613075460
957830138500
1020504673072
118772398404
123b82b82300
131c1a107a60
14dc73366d2
15800208a4c
hex4c62c7b30

20504673072 has 200 divisors, whose sum is σ = 65120300784. Its totient is φ = 6189820416.

The previous prime is 20504673047. The next prime is 20504673083. The reversal of 20504673072 is 27037640502.

It is a happy number.

20504673072 is a `hidden beast` number, since 20 + 504 + 67 + 3 + 0 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 881463 + ... + 904425.

Almost surely, 220504673072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20504673072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32560150392).

20504673072 is an abundant number, since it is smaller than the sum of its proper divisors (44615627712).

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

20504673072 is a wasteful number, since it uses less digits than its factorization.

20504673072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23049 (or 23034 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 20504673072 in words is "twenty billion, five hundred four million, six hundred seventy-three thousand, seventy-two".