Search a number
-
+
5877881856 = 210337112251
BaseRepresentation
bin1010111100101100…
…10101110000000000
3120011122021100002000
411132112111300000
544014214204411
62411131224000
7265442112540
oct53626256000
916148240060
105877881856
112546a02700
1211805a8000
137289aca02
143da901320
15246064956
hex15e595c00

5877881856 has 528 divisors, whose sum is σ = 21954320640. Its totient is φ = 1520640000.

The previous prime is 5877881851. The next prime is 5877881873. The reversal of 5877881856 is 6581887785.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×58778818562 = 69098990226188009472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5877881793 and 5877881802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5877881851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23417731 + ... + 23417981.

Almost surely, 25877881856 is an apocalyptic number.

5877881856 is a gapful number since it is divisible by the number (56) 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 5877881856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977160320).

5877881856 is an abundant number, since it is smaller than the sum of its proper divisors (16076438784).

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

5877881856 is a wasteful number, since it uses less digits than its factorization.

5877881856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 274 counting only the distinct ones).

The product of its digits is 30105600, while the sum is 63.

The square root of 5877881856 is about 76667.3454346764. The cubic root of 5877881856 is about 1804.7080306236.

The spelling of 5877881856 in words is "five billion, eight hundred seventy-seven million, eight hundred eighty-one thousand, eight hundred fifty-six".