Search a number
-
+
21707166208 = 2972131931113
BaseRepresentation
bin10100001101110110…
…010001001000000000
32002000210212022000211
4110031312101020000
5323424013304313
613545551523504
71365631603600
oct241566211000
962023768024
1021707166208
11922a147292
124259829594
13207c292c60
14109cd14c00
15870a87e3d
hex50dd91200

21707166208 has 480 divisors, whose sum is σ = 59561187840. Its totient is φ = 7803371520.

The previous prime is 21707166199. The next prime is 21707166223. The reversal of 21707166208 is 80266170712.

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, 192098760 + ... + 192098872.

It is an arithmetic number, because the mean of its divisors is an integer number (124085808).

Almost surely, 221707166208 is an apocalyptic number.

21707166208 is a gapful number since it is divisible by the number (28) 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 21707166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29780593920).

21707166208 is an abundant number, since it is smaller than the sum of its proper divisors (37854021632).

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

21707166208 is a wasteful number, since it uses less digits than its factorization.

21707166208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 21707166208 in words is "twenty-one billion, seven hundred seven million, one hundred sixty-six thousand, two hundred eight".