Search a number
-
+
20609761536 = 283271398299
BaseRepresentation
bin10011001100011100…
…000000000100000000
31222012022220100211100
4103030130000010000
5314202044332121
613245030414400
71326505040220
oct231434000400
958168810740
1020609761536
118816744981
123bb2201400
131c35b10690
14dd7290080
15809566026
hex4cc700100

20609761536 has 216 divisors, whose sum is σ = 73136772800. Its totient is φ = 5435486208.

The previous prime is 20609761517. The next prime is 20609761561. The reversal of 20609761536 is 63516790602.

20609761536 is a `hidden beast` number, since 2 + 0 + 609 + 7 + 6 + 1 + 5 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20609761491 and 20609761500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160515 + ... + 258813.

Almost surely, 220609761536 is an apocalyptic number.

20609761536 is a gapful number since it is divisible by the number (26) 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 20609761536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36568386400).

20609761536 is an abundant number, since it is smaller than the sum of its proper divisors (52527011264).

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

20609761536 is a wasteful number, since it uses less digits than its factorization.

20609761536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98341 (or 98324 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 20609761536 in words is "twenty billion, six hundred nine million, seven hundred sixty-one thousand, five hundred thirty-six".