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245048143392 = 253213236742473
BaseRepresentation
bin1110010000111000000…
…0011110111000100000
3212102111211022110212200
43210032000132320200
513003324311042032
6304323520053200
723463343565013
oct3441600367040
9772454273780
10245048143392
1194a1931a078
123b5aa164200
131a1531b8620
14bc08cc337a
15659322247c
hex390e01ee20

245048143392 has 288 divisors, whose sum is σ = 794795234688. Its totient is φ = 71043084288.

The previous prime is 245048143381. The next prime is 245048143421. The reversal of 245048143392 is 293341840542.

245048143392 is a `hidden beast` number, since 2 + 4 + 50 + 4 + 81 + 433 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5748268 + ... + 5790740.

It is an arithmetic number, because the mean of its divisors is an integer number (2759705676).

Almost surely, 2245048143392 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 245048143392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397397617344).

245048143392 is an abundant number, since it is smaller than the sum of its proper divisors (549747091296).

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

245048143392 is a wasteful number, since it uses less digits than its factorization.

245048143392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42592 (or 42581 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 245048143392 in words is "two hundred forty-five billion, forty-eight million, one hundred forty-three thousand, three hundred ninety-two".