Search a number
-
+
5083778700 = 22355271121319
BaseRepresentation
bin1001011110000010…
…00100111010001100
3111010022000201100000
410233001010322030
540402421404300
62200243004300
7236660256150
oct45701047214
914108021300
105083778700
11217972a200
12b9a669690
13630312ba0
1436326d060
151eb4a4c00
hex12f044e8c

5083778700 has 1296 divisors, whose sum is σ = 23532104960. Its totient is φ = 923788800.

The previous prime is 5083778699. The next prime is 5083778717. The reversal of 5083778700 is 78773805.

5083778700 is a `hidden beast` number, since 508 + 3 + 7 + 78 + 70 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 267567291 + ... + 267567309.

Almost surely, 25083778700 is an apocalyptic number.

5083778700 is a gapful number since it is divisible by the number (50) 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 5083778700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11766052480).

5083778700 is an abundant number, since it is smaller than the sum of its proper divisors (18448326260).

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

5083778700 is a wasteful number, since it uses less digits than its factorization.

5083778700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 5083778700 is about 71300.6220169221. The cubic root of 5083778700 is about 1719.4737325407.

The spelling of 5083778700 in words is "five billion, eighty-three million, seven hundred seventy-eight thousand, seven hundred".