Search a number
-
+
5448681971460 = 22345713192432381
BaseRepresentation
bin100111101001001111011…
…0000001101111100000100
3201021220000000101212210000
41033102132300031330010
51203232400041041320
615331031232201300
71101440263410120
oct117223660157404
921256000355700
105448681971460
111810855a20622
1273bba8699230
13306a68394380
1414ba091c4580
1596aece0cc90
hex4f49ec0df04

5448681971460 has 1440 divisors, whose sum is σ = 22728568972032. Its totient is φ = 1063331297280.

The previous prime is 5448681971437. The next prime is 5448681971477. The reversal of 5448681971460 is 641791868445.

5448681971460 is a `hidden beast` number, since 5 + 4 + 4 + 8 + 6 + 81 + 97 + 1 + 460 = 666.

It is a super-2 number, since 2×54486819714602 (a number of 26 digits) contains 22 as substring.

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 479 ways as a sum of consecutive naturals, for example, 2288399470 + ... + 2288401850.

Almost surely, 25448681971460 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 5448681971460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11364284486016).

5448681971460 is an abundant number, since it is smaller than the sum of its proper divisors (17279887000572).

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

5448681971460 is a wasteful number, since it uses less digits than its factorization.

5448681971460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 5448681971460 in words is "five trillion, four hundred forty-eight billion, six hundred eighty-one million, nine hundred seventy-one thousand, four hundred sixty".