Search a number
-
+
5233103607312 = 24327192922741507
BaseRepresentation
bin100110000100110110101…
…0010000001011000010000
3200112021112222200022010200
41030021231102001120100
51141214344010413222
615044015443455200
71050036120505620
oct114115522013020
920467488608120
105233103607312
11173838a617909
12706263987500
132bc630767459
141413d8168880
15911d1ecbeac
hex4c26d481610

5233103607312 has 480 divisors, whose sum is σ = 18306821145600. Its totient is φ = 1361577434112.

The previous prime is 5233103607301. The next prime is 5233103607383. The reversal of 5233103607312 is 2137063013325.

5233103607312 is a `hidden beast` number, since 5 + 2 + 3 + 3 + 10 + 3 + 607 + 31 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 126056863 + ... + 126098369.

It is an arithmetic number, because the mean of its divisors is an integer number (38139210720).

Almost surely, 25233103607312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5233103607312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153410572800).

5233103607312 is an abundant number, since it is smaller than the sum of its proper divisors (13073717538288).

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

5233103607312 is a wasteful number, since it uses less digits than its factorization.

5233103607312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41803 (or 41794 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 5233103607312 in words is "five trillion, two hundred thirty-three billion, one hundred three million, six hundred seven thousand, three hundred twelve".