Search a number
-
+
5753253912576 = 213319123110009
BaseRepresentation
bin101001110111000100010…
…1001111110000000000000
3202101000011011020120200120
41103232020221332000000
51223230131000200301
620123001450020240
71132441665243042
oct123561051760000
922330134216616
105753253912576
111918a39934955
1278b029117680
133296b6467981
1415c65d5dba92
159e9c6b6ae36
hex53b88a7e000

5753253912576 has 224 divisors, whose sum is σ = 16163231884800. Its totient is φ = 1815159767040.

The previous prime is 5753253912569. The next prime is 5753253912587. The reversal of 5753253912576 is 6752193523575.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574803060 + ... + 574813068.

It is an arithmetic number, because the mean of its divisors is an integer number (72157285200).

Almost surely, 25753253912576 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 5753253912576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081615942400).

5753253912576 is an abundant number, since it is smaller than the sum of its proper divisors (10409977972224).

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

5753253912576 is a wasteful number, since it uses less digits than its factorization.

5753253912576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11288 (or 11264 counting only the distinct ones).

The product of its digits is 59535000, while the sum is 60.

The spelling of 5753253912576 in words is "five trillion, seven hundred fifty-three billion, two hundred fifty-three million, nine hundred twelve thousand, five hundred seventy-six".