Search a number
-
+
5142352742560 = 2551147419148367
BaseRepresentation
bin100101011010100110000…
…0110111100100010100000
3200012121022101220201012201
41022311030012330202200
51133223014300230220
614534210401502544
71040344203052165
oct112651406744240
920177271821181
105142352742560
111702950075a40
126b0757641a54
132b3bca206c07
1413ac6965206c
158db6ec81d0a
hex4ad4c1bc8a0

5142352742560 has 192 divisors, whose sum is σ = 13567624519680. Its totient is φ = 1825780126720.

The previous prime is 5142352742531. The next prime is 5142352742591. The reversal of 5142352742560 is 652472532415.

It is a self number, because there is not a number n which added to its sum of digits gives 5142352742560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34585497 + ... + 34733863.

It is an arithmetic number, because the mean of its divisors is an integer number (70664711040).

Almost surely, 25142352742560 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 5142352742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783812259840).

5142352742560 is an abundant number, since it is smaller than the sum of its proper divisors (8425271777120).

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

5142352742560 is a wasteful number, since it uses less digits than its factorization.

5142352742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148859 (or 148851 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 46.

The spelling of 5142352742560 in words is "five trillion, one hundred forty-two billion, three hundred fifty-two million, seven hundred forty-two thousand, five hundred sixty".