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58031939700 = 22345272146213
BaseRepresentation
bin110110000010111110…
…010010000001110100
312112210100022222120000
4312002332102001310
51422322134032300
642354241511300
74123041230400
oct660276220164
9175710288500
1058031939700
112267a576249
12b2b6942530
13561aab6977
142b47350100
151799a9dc00
hexd82f92074

58031939700 has 270 divisors, whose sum is σ = 218831036886. Its totient is φ = 13264352640.

The previous prime is 58031939659. The next prime is 58031939717. The reversal of 58031939700 is 793913085.

It is a happy number.

58031939700 is a `hidden beast` number, since 580 + 31 + 9 + 39 + 7 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18449245584 + 39582694116 = 135828^2 + 198954^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 323794 + ... + 470006.

Almost surely, 258031939700 is an apocalyptic number.

58031939700 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 58031939700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109415518443).

58031939700 is an abundant number, since it is smaller than the sum of its proper divisors (160799097186).

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

58031939700 is a wasteful number, since it uses less digits than its factorization.

58031939700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146253 (or 146230 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 58031939700 in words is "fifty-eight billion, thirty-one million, nine hundred thirty-nine thousand, seven hundred".