Search a number
-
+
5654581427040 = 2535721319519479
BaseRepresentation
bin101001001001000111101…
…0100010011101101100000
3202000120110111112221221020
41102102033110103231200
51220121040321131130
620005402344125440
71122346541042100
oct122221724235540
922016414487836
105654581427040
11189010488a047
12773a8ba66880
133202bc9a7a60
1415797c9c1200
159c14e258e10
hex5248f513b60

5654581427040 has 576 divisors, whose sum is σ = 22327640616960. Its totient is φ = 1192317235200.

The previous prime is 5654581427003. The next prime is 5654581427057. The reversal of 5654581427040 is 407241854565.

It is a super-2 number, since 2×56545814270402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 596533021 + ... + 596542499.

It is an arithmetic number, because the mean of its divisors is an integer number (38763264960).

Almost surely, 25654581427040 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 5654581427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163820308480).

5654581427040 is an abundant number, since it is smaller than the sum of its proper divisors (16673059189920).

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

5654581427040 is a wasteful number, since it uses less digits than its factorization.

5654581427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11475 (or 11460 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 51.

The spelling of 5654581427040 in words is "five trillion, six hundred fifty-four billion, five hundred eighty-one million, four hundred twenty-seven thousand, forty".