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58750116912 = 2433571238171
BaseRepresentation
bin110110101101110001…
…111010010000110000
312121122101201011111000
4312231301322100300
51430310012220122
642553414522000
74146611516454
oct665561722060
9177571634430
1058750116912
1122a08a00433
12b477366300
13570381b8b6
142bb489a664
1517dcb620ac
hexdadc7a430

58750116912 has 80 divisors (see below), whose sum is σ = 168930636160. Its totient is φ = 19548993600.

The previous prime is 58750116881. The next prime is 58750116947. The reversal of 58750116912 is 21961105785.

58750116912 is a `hidden beast` number, since 5 + 87 + 501 + 1 + 69 + 1 + 2 = 666.

58750116912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127587 + ... + 365757.

It is an arithmetic number, because the mean of its divisors is an integer number (2111632952).

Almost surely, 258750116912 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 58750116912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84465318080).

58750116912 is an abundant number, since it is smaller than the sum of its proper divisors (110180519248).

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

58750116912 is a wasteful number, since it uses less digits than its factorization.

58750116912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238759 (or 238747 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 58750116912 in words is "fifty-eight billion, seven hundred fifty million, one hundred sixteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 571 1142 1713 2284 3426 4568 5139 6852 9136 10278 13704 15417 20556 27408 30834 41112 61668 82224 123336 238171 246672 476342 714513 952684 1429026 1905368 2143539 2858052 3810736 4287078 5716104 6430617 8574156 11432208 12861234 17148312 25722468 34296624 51444936 102889872 135995641 271991282 407986923 543982564 815973846 1087965128 1223960769 1631947692 2175930256 2447921538 3263895384 3671882307 4895843076 6527790768 7343764614 9791686152 14687529228 19583372304 29375058456 58750116912