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58474690560 = 21134511131729
BaseRepresentation
bin110110011101010111…
…001111100000000000
312120221012110001120000
4312131113033200000
51424224010044220
642510215320000
74140025445256
oct663527174000
9176835401500
1058474690560
1122887490550
12b3bb080000
13568b745c20
142b8a0825d6
1517c38a9390
hexd9d5cf800

58474690560 has 1920 divisors, whose sum is σ = 269707838400. Its totient is φ = 11890851840.

The previous prime is 58474690511. The next prime is 58474690601. The reversal of 58474690560 is 6509647485.

58474690560 is a `hidden beast` number, since 5 + 8 + 4 + 74 + 6 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×584746905602 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 58474690497 and 58474690506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2016368626 + ... + 2016368654.

Almost surely, 258474690560 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 58474690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134853919200).

58474690560 is an abundant number, since it is smaller than the sum of its proper divisors (211233147840).

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

58474690560 is a wasteful number, since it uses less digits than its factorization.

58474690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 58474690560 in words is "fifty-eight billion, four hundred seventy-four million, six hundred ninety thousand, five hundred sixty".