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58393440000 = 28335471931
BaseRepresentation
bin110110011000100001…
…010010111100000000
312120201112120002202000
4312120201102330000
51424042210040000
642454154024000
74135021023210
oct663041227400
9176645502660
1058393440000
1122845635825
12b397a18000
13567796857c
142b7d372240
1517bb6aa000
hexd98852f00

58393440000 has 720 divisors, whose sum is σ = 246734019840. Its totient is φ = 13340160000.

The previous prime is 58393439989. The next prime is 58393440043. The reversal of 58393440000 is 4439385.

58393440000 is a `hidden beast` number, since 583 + 9 + 34 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 30239035 + ... + 30240965.

Almost surely, 258393440000 is an apocalyptic number.

58393440000 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 58393440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123367009920).

58393440000 is an abundant number, since it is smaller than the sum of its proper divisors (188340579840).

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

58393440000 is an equidigital number, since it uses as much as digits as its factorization.

58393440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 58393440000 its reverse (4439385), we get a palindrome (58397879385).

The spelling of 58393440000 in words is "fifty-eight billion, three hundred ninety-three million, four hundred forty thousand".