Search a number
-
+
969006469248 = 273217413073931
BaseRepresentation
bin11100001100111010100…
…10010101000010000000
310102122011201121221010200
432012131102111002000
5111334011124003443
62021053323325200
7130002612042036
oct16063522250200
93378151557120
10969006469248
11343a53987574
12137972380800
13704b912002c
1434c86096556
151a3157d7dd3
hexe19d495080

969006469248 has 384 divisors, whose sum is σ = 3035075883840. Its totient is φ = 295546060800.

The previous prime is 969006469229. The next prime is 969006469261. The reversal of 969006469248 is 842964600969.

It is a tau number, because it is divible by the number of its divisors (384).

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, 246501843 + ... + 246505773.

Almost surely, 2969006469248 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 969006469248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517537941920).

969006469248 is an abundant number, since it is smaller than the sum of its proper divisors (2066069414592).

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

969006469248 is a wasteful number, since it uses less digits than its factorization.

969006469248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 969006469248 in words is "nine hundred sixty-nine billion, six million, four hundred sixty-nine thousand, two hundred forty-eight".