Search a number
-
+
5688476640 = 253357311349
BaseRepresentation
bin1010100110000111…
…10100001111100000
3112200102212112222000
411103003310033200
543122222223030
62340243444000
7260652153000
oct52303641740
915612775860
105688476640
112459aa6770
121129086600
136c8694c12
143bd6ba000
152345ee860
hex1530f43e0

5688476640 has 768 divisors, whose sum is σ = 25401600000. Its totient is φ = 1178634240.

The previous prime is 5688476639. The next prime is 5688476663. The reversal of 5688476640 is 466748865.

5688476640 is a `hidden beast` number, since 56 + 88 + 476 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16299186 + ... + 16299534.

It is an arithmetic number, because the mean of its divisors is an integer number (33075000).

Almost surely, 25688476640 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 5688476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800000).

5688476640 is an abundant number, since it is smaller than the sum of its proper divisors (19713123360).

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

5688476640 is a wasteful number, since it uses less digits than its factorization.

5688476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 5688476640 is about 75421.9904271957. The cubic root of 5688476640 is about 1785.1114117312. Note that the first 3 decimals are identical.

The spelling of 5688476640 in words is "five billion, six hundred eighty-eight million, four hundred seventy-six thousand, six hundred forty".