Search a number
-
+
4751136000 = 2835531347
BaseRepresentation
bin1000110110011000…
…01001010100000000
3110021010002201100000
410123030021110000
534212242323000
62103241200000
7225510663312
oct43314112400
913233081300
104751136000
11201898a886
12b07190000
135a94262a0
14330ddd7b2
151cc199000
hex11b309500

4751136000 has 864 divisors, whose sum is σ = 19499171328. Its totient is φ = 1144627200.

The previous prime is 4751135993. The next prime is 4751136017. The reversal of 4751136000 is 6311574.

4751136000 is a `hidden beast` number, since 4 + 7 + 51 + 1 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101087977 + ... + 101088023.

Almost surely, 24751136000 is an apocalyptic number.

4751136000 is a gapful number since it is divisible by the number (40) 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 4751136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749585664).

4751136000 is an abundant number, since it is smaller than the sum of its proper divisors (14748035328).

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

4751136000 is an equidigital number, since it uses as much as digits as its factorization.

4751136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 4751136000 is about 68928.4846779617. The cubic root of 4751136000 is about 1681.1216998780.

Adding to 4751136000 its reverse (6311574), we get a palindrome (4757447574).

The spelling of 4751136000 in words is "four billion, seven hundred fifty-one million, one hundred thirty-six thousand".