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2058130575810 = 23251391453113227
BaseRepresentation
bin11101111100110010001…
…001000101000111000010
321021202101122210001211100
4131330302021011013002
5232210022411411220
64213254144555230
7301460252150331
oct35746211050702
97252348701740
102058130575810
11723937066881
12292a67922b16
1311c108904aaa
1471884d57d18
153880b561d90
hex1df322451c2

2058130575810 has 96 divisors (see below), whose sum is σ = 5393393853120. Its totient is φ = 544506551424.

The previous prime is 2058130575793. The next prime is 2058130575811. The reversal of 2058130575810 is 185750318502.

2058130575810 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 13 + 0 + 57 + 581 + 0 = 666.

It is a super-2 number, since 2×20581305758102 (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2058130575811) 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 47 ways as a sum of consecutive naturals, for example, 18120417 + ... + 18233643.

It is an arithmetic number, because the mean of its divisors is an integer number (56181185970).

Almost surely, 22058130575810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058130575810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696696926560).

2058130575810 is an abundant number, since it is smaller than the sum of its proper divisors (3335263277310).

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

2058130575810 is a wasteful number, since it uses less digits than its factorization.

2058130575810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114832 (or 114829 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 2058130575810 in words is "two trillion, fifty-eight billion, one hundred thirty million, five hundred seventy-five thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 1453 2085 2502 2906 4170 4359 6255 7265 8718 12510 13077 14530 21795 26154 43590 65385 113227 130770 201967 226454 339681 403934 566135 605901 679362 1009835 1019043 1132270 1211802 1698405 1817703 2019670 2038086 3029505 3396810 3635406 5095215 6059010 9088515 10190430 15738553 18177030 31477106 47215659 78692765 94431318 141646977 157385530 164518831 236078295 283293954 329037662 472156590 493556493 708234885 822594155 987112986 1416469770 1480669479 1645188310 2467782465 2961338958 4935564930 7403347395 14806694790 22868117509 45736235018 68604352527 114340587545 137208705054 205813057581 228681175090 343021762635 411626115162 686043525270 1029065287905 2058130575810