Search a number
-
+
5659295040 = 26355737281
BaseRepresentation
bin1010100010101000…
…11111110101000000
3112121101221222100000
411101110133311000
543042234420130
62333322200000
7260146133310
oct52124376500
915541858300
105659295040
112444585143
12111b353000
136c26185b9
143b9881440
15231c88260
hex15151fd40

5659295040 has 672 divisors, whose sum is σ = 23778203904. Its totient is φ = 1254113280.

The previous prime is 5659295039. The next prime is 5659295071. The reversal of 5659295040 is 405929565.

It is a happy number.

5659295040 is a `hidden beast` number, since 5 + 6 + 592 + 9 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 20139700 + ... + 20139980.

It is an arithmetic number, because the mean of its divisors is an integer number (35384232).

Almost surely, 25659295040 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 5659295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11889101952).

5659295040 is an abundant number, since it is smaller than the sum of its proper divisors (18118908864).

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

5659295040 is a wasteful number, since it uses less digits than its factorization.

5659295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5659295040 is about 75228.2861694988. The cubic root of 5659295040 is about 1782.0536663768.

The spelling of 5659295040 in words is "five billion, six hundred fifty-nine million, two hundred ninety-five thousand, forty".