Search a number
-
+
5772580434720 = 25365113192103
BaseRepresentation
bin101010000000000100010…
…0110110011001100100000
3202102212001001111122000000
41110000020212303030200
51224034221042402340
620135515320300000
71134024632050461
oct124001046631440
922385031448000
105772580434720
11192615718a000
12792921611600
1332b47645b1a8
1415d574290d68
15a0258702d30
hex540089b3320

5772580434720 has 2016 divisors, whose sum is σ = 23966871836544. Its totient is φ = 1312888642560.

The previous prime is 5772580434679. The next prime is 5772580434749. The reversal of 5772580434720 is 274340852775.

It is a happy number.

5772580434720 is a `hidden beast` number, since 5 + 7 + 7 + 2 + 580 + 4 + 34 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 56044470189 + ... + 56044470291.

It is an arithmetic number, because the mean of its divisors is an integer number (11888329284).

Almost surely, 25772580434720 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 5772580434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11983435918272).

5772580434720 is an abundant number, since it is smaller than the sum of its proper divisors (18194291401824).

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

5772580434720 is a wasteful number, since it uses less digits than its factorization.

5772580434720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 5772580434720 in words is "five trillion, seven hundred seventy-two billion, five hundred eighty million, four hundred thirty-four thousand, seven hundred twenty".