Search a number
-
+
6404705216 = 267132292917
BaseRepresentation
bin1011111011100000…
…00000101111000000
3121112100120201212022
411331300000233000
5101104101031331
62535311021012
7314500044650
oct57560005700
917470521768
106404705216
11279731a908
1212a8b0a768
137b0b96c00
1444a87a360
1527742a67b
hex17dc00bc0

6404705216 has 168 divisors, whose sum is σ = 16276137120. Its totient is φ = 2445520896.

The previous prime is 6404705207. The next prime is 6404705249. The reversal of 6404705216 is 6125074046.

It is a congruent number.

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, 2194190 + ... + 2197106.

Almost surely, 26404705216 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 6404705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138068560).

6404705216 is an abundant number, since it is smaller than the sum of its proper divisors (9871431904).

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

6404705216 is a wasteful number, since it uses less digits than its factorization.

6404705216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 6404705216 is about 80029.4021969426. The cubic root of 6404705216 is about 1857.0904152811.

The spelling of 6404705216 in words is "six billion, four hundred four million, seven hundred five thousand, two hundred sixteen".