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58149630000 = 2433547112797
BaseRepresentation
bin110110001001111111…
…001111000000110000
312120002112210021022000
4312021333033000300
51423042301130000
642414044214000
74126000461660
oct661177170060
9176075707260
1058149630000
112272aa4a760
12b32a23a300
1356392b24b7
142b58c281a0
1517a509a000
hexd89fcf030

58149630000 has 800 divisors, whose sum is σ = 260130731520. Its totient is φ = 12078720000.

The previous prime is 58149629971. The next prime is 58149630001. The reversal of 58149630000 is 3694185.

58149630000 is a `hidden beast` number, since 5 + 8 + 14 + 9 + 630 + 0 + 0 + 0 = 666.

58149630000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (58149630001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20788602 + ... + 20791398.

Almost surely, 258149630000 is an apocalyptic number.

58149630000 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 58149630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130065365760).

58149630000 is an abundant number, since it is smaller than the sum of its proper divisors (201981101520).

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

58149630000 is a wasteful number, since it uses less digits than its factorization.

58149630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 58149630000 in words is "fifty-eight billion, one hundred forty-nine million, six hundred thirty thousand".