Search a number
-
+
4696542000 = 24345353547
BaseRepresentation
bin1000101111110111…
…11000101100110000
3110010022101001110000
410113323320230300
534104303321000
62054011110000
7224245643163
oct42773705460
913108331400
104696542000
111aa0091577
12ab0a42300
1359b01cb47
14327a6bada
151c74b3000
hex117ef8b30

4696542000 has 400 divisors, whose sum is σ = 17315936352. Its totient is φ = 1226534400.

The previous prime is 4696541989. The next prime is 4696542029. The reversal of 4696542000 is 2456964.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8585727 + ... + 8586273.

Almost surely, 24696542000 is an apocalyptic number.

4696542000 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 4696542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8657968176).

4696542000 is an abundant number, since it is smaller than the sum of its proper divisors (12619394352).

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

4696542000 is a wasteful number, since it uses less digits than its factorization.

4696542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4696542000 is about 68531.3213063925. The cubic root of 4696542000 is about 1674.6577751865.

Adding to 4696542000 its reverse (2456964), we get a palindrome (4698998964).

The spelling of 4696542000 in words is "four billion, six hundred ninety-six million, five hundred forty-two thousand".