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2054647296 = 29341337103
BaseRepresentation
bin111101001110111…
…0110111000000000
312022012011220020000
41322131312320000
513201442203141
6535514120000
7101626133232
oct17235667000
95265156200
102054647296
11964881a19
12494120000
1326989bb40
14156c42252
15c05a95b6
hex7a776e00

2054647296 has 400 divisors, whose sum is σ = 6848665824. Its totient is φ = 609140736.

The previous prime is 2054647241. The next prime is 2054647297. The reversal of 2054647296 is 6927464502.

2054647296 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20546472962 = 8443151021920223232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054647297) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19947981 + ... + 19948083.

Almost surely, 22054647296 is an apocalyptic number.

2054647296 is a gapful number since it is divisible by the number (26) 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 2054647296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424332912).

2054647296 is an abundant number, since it is smaller than the sum of its proper divisors (4794018528).

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

2054647296 is a wasteful number, since it uses less digits than its factorization.

2054647296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2054647296 is about 45328.2174368241. The cubic root of 2054647296 is about 1271.2933062753.

The spelling of 2054647296 in words is "two billion, fifty-four million, six hundred forty-seven thousand, two hundred ninety-six".