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58049649216 = 26341317232203
BaseRepresentation
bin110110000100000001…
…110101101001000000
312112211120122201110000
4312010001311221000
51422341202233331
642400113240000
74123344606546
oct660401655100
9175746581400
1058049649216
1122689571709
12b300863000
135621677680
142b4983dd96
15179b3eb0e6
hexd84075a40

58049649216 has 560 divisors, whose sum is σ = 204838913664. Its totient is φ = 16072556544.

The previous prime is 58049649211. The next prime is 58049649227. The reversal of 58049649216 is 61294694085.

58049649216 is a `hidden beast` number, since 58 + 0 + 4 + 96 + 492 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (58049649211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26349171 + ... + 26351373.

Almost surely, 258049649216 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 58049649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102419456832).

58049649216 is an abundant number, since it is smaller than the sum of its proper divisors (146789264448).

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

58049649216 is a wasteful number, since it uses less digits than its factorization.

58049649216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 58049649216 in words is "fifty-eight billion, forty-nine million, six hundred forty-nine thousand, two hundred sixteen".