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58013842356 = 22351923612239
BaseRepresentation
bin110110000001111001…
…001111101110110100
312112202002021112200000
4312001321033232310
51422303020423411
642352353551300
74122431344431
oct660171175664
9175662245600
1058013842356
1122670335468
12b2b0875530
13561711b592
142b44b9cb88
1517981c6956
hexd81e4fbb4

58013842356 has 288 divisors, whose sum is σ = 169855795200. Its totient is φ = 17228661120.

The previous prime is 58013842351. The next prime is 58013842363. The reversal of 58013842356 is 65324831085.

58013842356 is a `hidden beast` number, since 580 + 1 + 38 + 4 + 2 + 35 + 6 = 666.

It is a super-3 number, since 3×580138423563 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58013842351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25909485 + ... + 25911723.

Almost surely, 258013842356 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 58013842356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84927897600).

58013842356 is an abundant number, since it is smaller than the sum of its proper divisors (111841952844).

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

58013842356 is a wasteful number, since it uses less digits than its factorization.

58013842356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 58013842356 in words is "fifty-eight billion, thirteen million, eight hundred forty-two thousand, three hundred fifty-six".