Search a number
-
+
5055834000 = 243537177397
BaseRepresentation
bin1001011010101100…
…11110011110010000
3111001100102222102010
410231112132132100
540323243142000
62153404022520
7236200610550
oct45526363620
914040388363
105055834000
112164982a08
12b91231a40
136275aa569
1435d677160
151e8cd4d50
hex12d59e790

5055834000 has 640 divisors, whose sum is σ = 20200707072. Its totient is φ = 1061683200.

The previous prime is 5055833933. The next prime is 5055834023. The reversal of 5055834000 is 4385505.

It is a super-2 number, since 2×50558340002 = 51122914871112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 52121952 + ... + 52122048.

Almost surely, 25055834000 is an apocalyptic number.

5055834000 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 5055834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100353536).

5055834000 is an abundant number, since it is smaller than the sum of its proper divisors (15144873072).

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

5055834000 is a wasteful number, since it uses less digits than its factorization.

5055834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 5055834000 is about 71104.3880502462. The cubic root of 5055834000 is about 1716.3173868625.

The spelling of 5055834000 in words is "five billion, fifty-five million, eight hundred thirty-four thousand".