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58907151144011 = 1723959942195737
BaseRepresentation
bin11010110010011011000111…
…10100011001010001001011
321201120110122122110111122002
431121031203310121101023
530210113321143102021
6325141323250421215
715256621056063302
oct1531154364312113
9251513578414562
1058907151144011
1117851423129495
12673472589180b
1326b3bc74b89a1
14107919acd1439
156c249bd2450b
hex359363d1944b

58907151144011 has 32 divisors (see below), whose sum is σ = 62763621120000. Its totient is φ = 55095209874432.

The previous prime is 58907151144001. The next prime is 58907151144013. The reversal of 58907151144011 is 11044115170985.

58907151144011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-58907151144011 is a prime.

It is a super-2 number, since 2×589071511440112 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58907151144013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10267933535 + ... + 10267939271.

It is an arithmetic number, because the mean of its divisors is an integer number (1961363160000).

Almost surely, 258907151144011 is an apocalyptic number.

58907151144011 is a deficient number, since it is larger than the sum of its proper divisors (3856469975989).

58907151144011 is a wasteful number, since it uses less digits than its factorization.

58907151144011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10811.

The product of its (nonzero) digits is 201600, while the sum is 47.

The spelling of 58907151144011 in words is "fifty-eight trillion, nine hundred seven billion, one hundred fifty-one million, one hundred forty-four thousand, eleven".

Divisors: 1 17 239 599 4063 4219 5737 10183 71723 97529 143161 1008341 1371143 2433737 2527181 3436463 17141797 23309431 24204403 42962077 58419871 411474851 603996259 821314657 5784852317 10267936403 13962349169 14498437397 98342489389 246473435749 3465126537883 58907151144011