Search a number
-
+
21486454038 = 23372193711551
BaseRepresentation
bin10100000000101100…
…010100010100010110
32001110102112221212000
4110000230110110112
5323001013012123
613512025140130
71360311563100
oct240054242426
961412487760
1021486454038
1191265a7a35
1241b792a646
13204563633a
14107b8a0570
1585b4dbb43
hex500b14516

21486454038 has 192 divisors, whose sum is σ = 60051916800. Its totient is φ = 5658206400.

The previous prime is 21486454009. The next prime is 21486454063. The reversal of 21486454038 is 83045468412.

21486454038 is a `hidden beast` number, since 2 + 1 + 48 + 64 + 540 + 3 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 21486453984 and 21486454002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1854363 + ... + 1865913.

It is an arithmetic number, because the mean of its divisors is an integer number (312770400).

Almost surely, 221486454038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21486454038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30025958400).

21486454038 is an abundant number, since it is smaller than the sum of its proper divisors (38565462762).

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

21486454038 is a wasteful number, since it uses less digits than its factorization.

21486454038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11632 (or 11619 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 21486454038 in words is "twenty-one billion, four hundred eighty-six million, four hundred fifty-four thousand, thirty-eight".