Search a number
-
+
5870806656 = 27311131719331
BaseRepresentation
bin1010111011110110…
…10110011010000000
3120011010221212201120
411131323112122000
544010411303111
62410315432240
7265325014251
oct53573263200
916133855646
105870806656
112542a0aa30
12117a155680
137273a34c0
143d99bcb28
15245618406
hex15ded6680

5870806656 has 512 divisors, whose sum is σ = 20480947200. Its totient is φ = 1459814400.

The previous prime is 5870806651. The next prime is 5870806681. The reversal of 5870806656 is 6566080785.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 5870806599 and 5870806608.

It is not an unprimeable number, because it can be changed into a prime (5870806651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17736411 + ... + 17736741.

It is an arithmetic number, because the mean of its divisors is an integer number (40001850).

Almost surely, 25870806656 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 5870806656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10240473600).

5870806656 is an abundant number, since it is smaller than the sum of its proper divisors (14610140544).

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

5870806656 is a wasteful number, since it uses less digits than its factorization.

5870806656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The square root of 5870806656 is about 76621.1893408083. The cubic root of 5870806656 is about 1803.9836315282.

The spelling of 5870806656 in words is "five billion, eight hundred seventy million, eight hundred six thousand, six hundred fifty-six".