Search a number
-
+
5113641456000 = 273553711192931
BaseRepresentation
bin100101001101001110011…
…0010000101000110000000
3200002212012110120020100000
41022122130302011012000
51132240214203043000
614513101403200000
71035306542125320
oct112323462050600
920085173506300
105113641456000
1116a1757320440
126a7084216000
132b12a2b2775c
1413970442b280
158d03e369000
hex4a69cc85180

5113641456000 has 6144 divisors, whose sum is σ = 26689388544000. Its totient is φ = 940584960000.

The previous prime is 5113641455987. The next prime is 5113641456059. The reversal of 5113641456000 is 6541463115.

5113641456000 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 6 + 4 + 1 + 45 + 600 + 0 = 666.

It is a super-2 number, since 2×51136414560002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 164956175985 + ... + 164956176015.

It is an arithmetic number, because the mean of its divisors is an integer number (4343976000).

Almost surely, 25113641456000 is an apocalyptic number.

5113641456000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5113641456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344694272000).

5113641456000 is an abundant number, since it is smaller than the sum of its proper divisors (21575747088000).

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

5113641456000 is a wasteful number, since it uses less digits than its factorization.

5113641456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5113641456000 in words is "five trillion, one hundred thirteen billion, six hundred forty-one million, four hundred fifty-six thousand".