Search a number
-
+
5486853415680 = 28325721319232959
BaseRepresentation
bin100111111011000000111…
…1100101110001100000000
3201102112112020201011022100
41033312001330232030000
51204344033433300210
615400343050510400
71104261225341400
oct117660174561400
921375466634270
105486853415680
111825a6379063a
12747480135400
1330a53c669060
1414d7ca9a4800
1597ad40ea5c0
hex4fd81f2e300

5486853415680 has 5184 divisors, whose sum is σ = 27480974976000. Its totient is φ = 995710205952.

The previous prime is 5486853415669. The next prime is 5486853415691. The reversal of 5486853415680 is 865143586845.

5486853415680 is a `hidden beast` number, since 5 + 4 + 8 + 6 + 8 + 534 + 15 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5486853415669) and next prime (5486853415691).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 92997515491 + ... + 92997515549.

It is an arithmetic number, because the mean of its divisors is an integer number (5301114000).

Almost surely, 25486853415680 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 5486853415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740487488000).

5486853415680 is an abundant number, since it is smaller than the sum of its proper divisors (21994121560320).

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

5486853415680 is a wasteful number, since it uses less digits than its factorization.

5486853415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 5486853415680 in words is "five trillion, four hundred eighty-six billion, eight hundred fifty-three million, four hundred fifteen thousand, six hundred eighty".