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8474899680 = 25325132967233
BaseRepresentation
bin1111110010010010…
…01011010011100000
3210212122000111210100
413321021023103200
5114324033242210
63520542302400
7420005313222
oct77111132340
923778014710
108474899680
113659950625
121786287a00
13a50a4a450
145a57a8412
153490565c0
hex1f924b4e0

8474899680 has 576 divisors, whose sum is σ = 32840458560. Its totient is φ = 1975615488.

The previous prime is 8474899673. The next prime is 8474899703. The reversal of 8474899680 is 869984748.

8474899680 is a `hidden beast` number, since 8 + 474 + 89 + 9 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36372844 + ... + 36373076.

It is an arithmetic number, because the mean of its divisors is an integer number (57014685).

Almost surely, 28474899680 is an apocalyptic number.

8474899680 is a gapful number since it is divisible by the number (80) 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 8474899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16420229280).

8474899680 is an abundant number, since it is smaller than the sum of its proper divisors (24365558880).

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

8474899680 is a wasteful number, since it uses less digits than its factorization.

8474899680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The square root of 8474899680 is about 92059.2183325494. The cubic root of 8474899680 is about 2038.8167301740.

The spelling of 8474899680 in words is "eight billion, four hundred seventy-four million, eight hundred ninety-nine thousand, six hundred eighty".