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58156968688 = 247213233153151
BaseRepresentation
bin110110001010011011…
…001110101011110000
312120010001121010002021
4312022123032223300
51423101140444223
642414505401224
74126120035400
oct661233165360
9176101533067
1058156968688
1122734102395
12b330799214
13563a981910
142b59bb8800
1517a5a4965d
hexd8a6ceaf0

58156968688 has 480 divisors, whose sum is σ = 155942019072. Its totient is φ = 20756736000.

The previous prime is 58156968643. The next prime is 58156968689. The reversal of 58156968688 is 88686965185.

It is a happy number.

It is a super-3 number, since 3×581569686883 (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 (58156968689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385145413 + ... + 385145563.

Almost surely, 258156968688 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 58156968688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77971009536).

58156968688 is an abundant number, since it is smaller than the sum of its proper divisors (97785050384).

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

58156968688 is a wasteful number, since it uses less digits than its factorization.

58156968688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 70.

The spelling of 58156968688 in words is "fifty-eight billion, one hundred fifty-six million, nine hundred sixty-eight thousand, six hundred eighty-eight".