Search a number
-
+
5093970000 = 243547127191
BaseRepresentation
bin1001011111001111…
…11101000001010000
3111011000012111011120
410233213331001100
540413024020000
62201245242240
7240143013330
oct45747750120
914130174146
105093970000
112184460069
12ba1b63380
13632470842
143647630c0
151ec3196a0
hex12f9fd050

5093970000 has 400 divisors, whose sum is σ = 19040305152. Its totient is φ = 1149120000.

The previous prime is 5093969999. The next prime is 5093970023. The reversal of 5093970000 is 793905.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 26669905 + ... + 26670095.

Almost surely, 25093970000 is an apocalyptic number.

5093970000 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 5093970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9520152576).

5093970000 is an abundant number, since it is smaller than the sum of its proper divisors (13946335152).

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

5093970000 is a wasteful number, since it uses less digits than its factorization.

5093970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 5093970000 is about 71372.0533542366. The cubic root of 5093970000 is about 1720.6219582326.

The spelling of 5093970000 in words is "five billion, ninety-three million, nine hundred seventy thousand".