Search a number
-
+
5294754803520 = 2633572132431721
BaseRepresentation
bin100110100001100011111…
…1110101010111101000000
3200202011200120021120021000
41031003013332222331000
51143222124212203040
615132213214532000
71054350650152500
oct115030776527500
920664616246230
105294754803520
111761547064036
127161aa807000
132c53a7314100
141443a603ba00
1592ade693130
hex4d0c7faaf40

5294754803520 has 2016 divisors, whose sum is σ = 24089441523840. Its totient is φ = 1090521169920.

The previous prime is 5294754803479. The next prime is 5294754803543. The reversal of 5294754803520 is 253084574925.

5294754803520 is a `hidden beast` number, since 5 + 2 + 9 + 4 + 75 + 48 + 0 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×52947548035202 (a number of 26 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 3076556260 + ... + 3076557980.

It is an arithmetic number, because the mean of its divisors is an integer number (11949127740).

Almost surely, 25294754803520 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 5294754803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12044720761920).

5294754803520 is an abundant number, since it is smaller than the sum of its proper divisors (18794686720320).

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

5294754803520 is a wasteful number, since it uses less digits than its factorization.

5294754803520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 5294754803520 in words is "five trillion, two hundred ninety-four billion, seven hundred fifty-four million, eight hundred three thousand, five hundred twenty".