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58132394496 = 293311537213
BaseRepresentation
bin110110001000111101…
…011111001000000000
312120001100100121122000
4312020331133020000
51423023343110441
642412230544000
74125401125461
oct661075371000
9176040317560
1058132394496
1122721248440
12b324508000
135635859487
142b5681cd68
1517a37e32b6
hexd88f5f200

58132394496 has 320 divisors, whose sum is σ = 191287578240. Its totient is φ = 17281105920.

The previous prime is 58132394477. The next prime is 58132394533. The reversal of 58132394496 is 69449323185.

58132394496 is a `hidden beast` number, since 58 + 13 + 2 + 3 + 94 + 496 = 666.

It is a super-4 number, since 4×581323944964 (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8055786 + ... + 8062998.

It is an arithmetic number, because the mean of its divisors is an integer number (597773682).

Almost surely, 258132394496 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 58132394496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95643789120).

58132394496 is an abundant number, since it is smaller than the sum of its proper divisors (133155183744).

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

58132394496 is a wasteful number, since it uses less digits than its factorization.

58132394496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7304 (or 7282 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 58132394496 in words is "fifty-eight billion, one hundred thirty-two million, three hundred ninety-four thousand, four hundred ninety-six".