Search a number
-
+
296893403136 = 212371123131
BaseRepresentation
bin1000101001000000011…
…10011101000000000000
31001101100000022120000000
410110200032131000000
514331014202400021
6344220240000000
730310203200541
oct4244016350000
91041300276000
10296893403136
11104a0364a080
1249659000000
1321cc6334005
141052670c4c8
157ac9ab0b26
hex452039d000

296893403136 has 832 divisors, whose sum is σ = 1021356103680. Its totient is φ = 85399142400.

The previous prime is 296893403089. The next prime is 296893403171. The reversal of 296893403136 is 631304398692.

296893403136 is a `hidden beast` number, since 2 + 96 + 89 + 340 + 3 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2266361791 + ... + 2266361921.

Almost surely, 2296893403136 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 296893403136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510678051840).

296893403136 is an abundant number, since it is smaller than the sum of its proper divisors (724462700544).

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

296893403136 is an equidigital number, since it uses as much as digits as its factorization.

296893403136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 296893403136 in words is "two hundred ninety-six billion, eight hundred ninety-three million, four hundred three thousand, one hundred thirty-six".