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2048147010 = 23257132383131
BaseRepresentation
bin111101000010100…
…0011111001000010
312021201221122111200
41322011003321002
513143311201020
6535122522030
7101516651040
oct17205037102
95251848450
102048147010
11961142188
12491b06316
13268434210
1415602d390
15bec23590
hex7a143e42

2048147010 has 384 divisors, whose sum is σ = 6974263296. Its totient is φ = 405250560.

The previous prime is 2048146993. The next prime is 2048147021. The reversal of 2048147010 is 107418402.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15634645 + ... + 15634775.

It is an arithmetic number, because the mean of its divisors is an integer number (18162144).

Almost surely, 22048147010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048147010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487131648).

2048147010 is an abundant number, since it is smaller than the sum of its proper divisors (4926116286).

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

2048147010 is a wasteful number, since it uses less digits than its factorization.

2048147010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2048147010 is about 45256.4582131656. The cubic root of 2048147010 is about 1269.9512267627.

The spelling of 2048147010 in words is "two billion, forty-eight million, one hundred forty-seven thousand, ten".