Search a number
-
+
20009476032 = 2637136717093
BaseRepresentation
bin10010101000101010…
…000101111111000000
31220122111100200220220
4102220222011333000
5311434411213112
613105304303040
71305565511550
oct225052057700
956574320826
1020009476032
118538911557
123a65171a80
131b6b644b60
14d7b671160
157c19dd98c
hex4a8a85fc0

20009476032 has 224 divisors, whose sum is σ = 66135455232. Its totient is φ = 5198155776.

The previous prime is 20009476009. The next prime is 20009476049. The reversal of 20009476032 is 23067490002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 20009475984 and 20009476002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1162078 + ... + 1179170.

It is an arithmetic number, because the mean of its divisors is an integer number (295247568).

Almost surely, 220009476032 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 20009476032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33067727616).

20009476032 is an abundant number, since it is smaller than the sum of its proper divisors (46125979200).

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

20009476032 is a wasteful number, since it uses less digits than its factorization.

20009476032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17195 (or 17185 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 20009476032 in words is "twenty billion, nine million, four hundred seventy-six thousand, thirty-two".