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4708978560 = 2732511135717
BaseRepresentation
bin1000110001010110…
…10100111110000000
3110011011202220012100
410120223110332000
534120444303220
62055133430400
7224456441316
oct43053247600
913134686170
104708978560
111aa7106320
12ab503b400
135a0785760
143295880b6
151c861cd90
hex118ad4f80

4708978560 has 384 divisors, whose sum is σ = 19106811360. Its totient is φ = 1053573120.

The previous prime is 4708978541. The next prime is 4708978583. The reversal of 4708978560 is 658798074.

4708978560 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 9 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4708978497 and 4708978506.

It is a congruent number.

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, 820822 + ... + 826538.

Almost surely, 24708978560 is an apocalyptic number.

4708978560 is a gapful number since it is divisible by the number (40) 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 4708978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553405680).

4708978560 is an abundant number, since it is smaller than the sum of its proper divisors (14397832800).

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

4708978560 is a wasteful number, since it uses less digits than its factorization.

4708978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 4708978560 is about 68621.9976392410. The cubic root of 4708978560 is about 1676.1346508284.

The spelling of 4708978560 in words is "four billion, seven hundred eight million, nine hundred seventy-eight thousand, five hundred sixty".