Search a number
-
+
5411379879360 = 2632571359349963
BaseRepresentation
bin100111010111110111101…
…1000000001110111000000
3201011022201100221021011100
41032233233120001313000
51202130001222114420
615301541551014400
71065650016020040
oct116575730016700
921138640837140
105411379879360
1117a6a5395a734
1273491820a400
133033a2245220
14149cab063720
1595b681e6190
hex4ebef601dc0

5411379879360 has 672 divisors, whose sum is σ = 23296515540480. Its totient is φ = 1122386927616.

The previous prime is 5411379879341. The next prime is 5411379879407. The reversal of 5411379879360 is 639789731145.

5411379879360 is a `hidden beast` number, since 5 + 4 + 113 + 7 + 98 + 79 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15287739 + ... + 15637701.

It is an arithmetic number, because the mean of its divisors is an integer number (34667433840).

Almost surely, 25411379879360 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 5411379879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11648257770240).

5411379879360 is an abundant number, since it is smaller than the sum of its proper divisors (17885135661120).

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

5411379879360 is a wasteful number, since it uses less digits than its factorization.

5411379879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350065 (or 350052 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 5411379879360 in words is "five trillion, four hundred eleven billion, three hundred seventy-nine million, eight hundred seventy-nine thousand, three hundred sixty".