Search a number
-
+
21085403472 = 24327613071117
BaseRepresentation
bin10011101000110010…
…011011100101010000
32000102110220110220100
4103220302123211100
5321140330402342
613404141212400
71344341654340
oct235062334520
960373813810
1021085403472
118a40184791
124105561100
131cb0517803
141040504d20
158361bbe4c
hex4e8c9b950

21085403472 has 240 divisors, whose sum is σ = 68830233472. Its totient is φ = 5901050880.

The previous prime is 21085403459. The next prime is 21085403497. The reversal of 21085403472 is 27430458012.

It is a happy number.

21085403472 is a `hidden beast` number, since 2 + 10 + 8 + 540 + 34 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18876258 + ... + 18877374.

Almost surely, 221085403472 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 21085403472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34415116736).

21085403472 is an abundant number, since it is smaller than the sum of its proper divisors (47744830000).

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

21085403472 is a wasteful number, since it uses less digits than its factorization.

21085403472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 21085403472 in words is "twenty-one billion, eighty-five million, four hundred three thousand, four hundred seventy-two".