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2134923648 = 2731113172287
BaseRepresentation
bin111111101000000…
…0101100110000000
312111210020100200020
41333100011212000
513333020024043
6551502453440
7103622360124
oct17720054600
95453210606
102134923648
119a6121810
124b6b94280
132803c7c40
1416377b584
15c7664e83
hex7f405980

2134923648 has 256 divisors, whose sum is σ = 7057290240. Its totient is φ = 561807360.

The previous prime is 2134923647. The next prime is 2134923677. The reversal of 2134923648 is 8463294312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134923647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 932361 + ... + 934647.

It is an arithmetic number, because the mean of its divisors is an integer number (27567540).

Almost surely, 22134923648 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 2134923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528645120).

2134923648 is an abundant number, since it is smaller than the sum of its proper divisors (4922366592).

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

2134923648 is a wasteful number, since it uses less digits than its factorization.

2134923648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2333 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 2134923648 is about 46205.2339892355. The cubic root of 2134923648 is about 1287.6389816726.

The spelling of 2134923648 in words is "two billion, one hundred thirty-four million, nine hundred twenty-three thousand, six hundred forty-eight".