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296923929120 = 253457132231129
BaseRepresentation
bin1000101001000100000…
…10111001101000100000
31001101102010202102210000
410110202002321220200
514331100011212440
6344223250140000
730311023516560
oct4244202715040
91041363672700
10296923929120
11104a198a9765
1249667281600
1321ccc761520
141052a7b6da0
157acc5e0730
hex45220b9a20

296923929120 has 960 divisors, whose sum is σ = 1296646686720. Its totient is φ = 62311514112.

The previous prime is 296923929119. The next prime is 296923929139. The reversal of 296923929120 is 21929329692.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 262996716 + ... + 262997844.

It is an arithmetic number, because the mean of its divisors is an integer number (1350673632).

Almost surely, 2296923929120 is an apocalyptic number.

296923929120 is a gapful number since it is divisible by the number (20) 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 296923929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648323343360).

296923929120 is an abundant number, since it is smaller than the sum of its proper divisors (999722757600).

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

296923929120 is a wasteful number, since it uses less digits than its factorization.

296923929120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 296923929120 in words is "two hundred ninety-six billion, nine hundred twenty-three million, nine hundred twenty-nine thousand, one hundred twenty".