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58118080000 = 2954181619
BaseRepresentation
bin110110001000000110…
…111000011000000000
312120000100102100211111
4312020012320120000
51423011212030000
642411000053104
74125135346321
oct661006703000
9176010370744
1058118080000
1122714160782
12b31b764194
1356328b6b66
142b54974448
1517a2416cba
hexd881b8600

58118080000 has 100 divisors (see below), whose sum is σ = 145107660060. Its totient is φ = 23247104000.

The previous prime is 58118079961. The next prime is 58118080063. The reversal of 58118080000 is 8081185.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×581180800002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 229191 + ... + 410809.

Almost surely, 258118080000 is an apocalyptic number.

58118080000 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 58118080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72553830030).

58118080000 is an abundant number, since it is smaller than the sum of its proper divisors (86989580060).

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

58118080000 is an frugal number, since it uses more digits than its factorization.

58118080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181657 (or 181626 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 31.

The spelling of 58118080000 in words is "fifty-eight billion, one hundred eighteen million, eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 64000 80000 160000 181619 320000 363238 726476 908095 1452952 1816190 2905904 3632380 4540475 5811808 7264760 9080950 11623616 14529520 18161900 22702375 23247232 29059040 36323800 45404750 46494464 58118080 72647600 90809500 92988928 113511875 116236160 145295200 181619000 227023750 232472320 290590400 363238000 454047500 464944640 581180800 726476000 908095000 1162361600 1452952000 1816190000 2324723200 2905904000 3632380000 5811808000 7264760000 11623616000 14529520000 29059040000 58118080000