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245047495680 = 210325131273221
BaseRepresentation
bin1110010000110111111…
…0000000110000000000
3212102111210002120101100
43210031332000300000
513003324124330210
6304323454134400
723463335226441
oct3441576006000
9772453076340
10245047495680
1194a18a17479
123b5a9ab1400
131a15301c870
14bc08b952c8
1565931455c0
hex390df80c00

245047495680 has 528 divisors, whose sum is σ = 921883382784. Its totient is φ = 59825848320.

The previous prime is 245047495669. The next prime is 245047495681. The reversal of 245047495680 is 86594740542.

245047495680 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 4 + 74 + 9 + 568 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (245047495681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76076470 + ... + 76079690.

Almost surely, 2245047495680 is an apocalyptic number.

245047495680 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 245047495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460941691392).

245047495680 is an abundant number, since it is smaller than the sum of its proper divisors (676835887104).

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

245047495680 is a wasteful number, since it uses less digits than its factorization.

245047495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 245047495680 in words is "two hundred forty-five billion, forty-seven million, four hundred ninety-five thousand, six hundred eighty".