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558040361472 = 29331117534073
BaseRepresentation
bin10000001111011011100…
…11000010101000000000
31222100101210101120022000
420013231303002220000
533120331313031342
61104205445344000
755213521544236
oct10075563025000
91870353346260
10558040361472
111a5733266090
129019a708000
13408138c2b29
141d01b726956
15e7b12e744c
hex81edcc2a00

558040361472 has 640 divisors, whose sum is σ = 1944483045120. Its totient is φ = 156114616320.

The previous prime is 558040361381. The next prime is 558040361477. The reversal of 558040361472 is 274163040855.

558040361472 is a `hidden beast` number, since 5 + 5 + 80 + 40 + 3 + 61 + 472 = 666.

It is a super-2 number, since 2×5580403614722 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (558040361477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137007628 + ... + 137011700.

It is an arithmetic number, because the mean of its divisors is an integer number (3038254758).

Almost surely, 2558040361472 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 558040361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972241522560).

558040361472 is an abundant number, since it is smaller than the sum of its proper divisors (1386442683648).

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

558040361472 is a wasteful number, since it uses less digits than its factorization.

558040361472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 558040361472 in words is "five hundred fifty-eight billion, forty million, three hundred sixty-one thousand, four hundred seventy-two".