Search a number
-
+
296883357696 = 21132891371321
BaseRepresentation
bin1000101000111111010…
…00001000100000000000
31001101022022102012020200
410110133220020200000
514331004114421241
6344215240405200
730310021621542
oct4243750104000
91041268365220
10296883357696
111049a8a08862
1249655776800
1321cc4227873
1410525255692
157ac8c794b6
hex451fa08800

296883357696 has 288 divisors, whose sum is σ = 874078241400. Its totient is φ = 97061437440.

The previous prime is 296883357689. The next prime is 296883357707. The reversal of 296883357696 is 696753388692.

It can be written as a sum of positive squares in 4 ways, for example, as 277265433600 + 19617924096 = 526560^2 + 140064^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 224740716 + ... + 224742036.

Almost surely, 2296883357696 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 296883357696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437039120700).

296883357696 is an abundant number, since it is smaller than the sum of its proper divisors (577194883704).

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

296883357696 is a wasteful number, since it uses less digits than its factorization.

296883357696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1552 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 296883357696 in words is "two hundred ninety-six billion, eight hundred eighty-three million, three hundred fifty-seven thousand, six hundred ninety-six".