Search a number
-
+
5752250778240 = 273351918196797
BaseRepresentation
bin101001110110100110011…
…0111010100001010000000
3202100220120020200002002000
41103231030313110022000
51223221102144400430
620122314133224000
71132405064606121
oct123551467241200
922326506602060
105752250778240
11191857467020a
1278a9a9192000
133295866a0c65
1415c5a62b6048
159e968a6ae60
hex53b4cdd4280

5752250778240 has 512 divisors, whose sum is σ = 21563496864000. Its totient is φ = 1445156536320.

The previous prime is 5752250778223. The next prime is 5752250778247. The reversal of 5752250778240 is 428770522575.

5752250778240 is a `hidden beast` number, since 5 + 7 + 5 + 22 + 507 + 78 + 2 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5752250778247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59377522 + ... + 59474318.

Almost surely, 25752250778240 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 5752250778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10781748432000).

5752250778240 is an abundant number, since it is smaller than the sum of its proper divisors (15811246085760).

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

5752250778240 is a wasteful number, since it uses less digits than its factorization.

5752250778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97025 (or 97007 counting only the distinct ones).

The product of its (nonzero) digits is 10976000, while the sum is 54.

The spelling of 5752250778240 in words is "five trillion, seven hundred fifty-two billion, two hundred fifty million, seven hundred seventy-eight thousand, two hundred forty".