Search a number
-
+
58044063702240 = 25385711718087
BaseRepresentation
bin11010011001010011011111…
…10011000101110011100000
321121111221212121011200000000
431030221233303011303200
530101443220301432430
6323241024051300000
715140355002631510
oct1514515763056340
9247457777150000
1058044063702240
1117549392832a70
1266153b35aa600
1326506bb263215
1410494c202b840
156a9cd5216e60
hex34ca6fcc5ce0

58044063702240 has 864 divisors, whose sum is σ = 256436555042304. Its totient is φ = 12061087349760.

The previous prime is 58044063702227. The next prime is 58044063702257. The reversal of 58044063702240 is 4220736044085.

It is a happy number.

58044063702240 is a `hidden beast` number, since 5 + 8 + 0 + 4 + 4 + 0 + 637 + 0 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×580440637022402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80472477 + ... + 81190563.

It is an arithmetic number, because the mean of its divisors is an integer number (296801568336).

Almost surely, 258044063702240 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 58044063702240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128218277521152).

58044063702240 is an abundant number, since it is smaller than the sum of its proper divisors (198392491340064).

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

58044063702240 is an equidigital number, since it uses as much as digits as its factorization.

58044063702240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718144 (or 718115 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 58044063702240 in words is "fifty-eight trillion, forty-four billion, sixty-three million, seven hundred two thousand, two hundred forty".