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58589061669012 = 22374325436378557
BaseRepresentation
bin11010101001001010101000…
…01101010110000010010100
321200110001121102222221020110
431110211110031112002110
530134410344241402022
6324335235433203020
715224630365130520
oct1524452415260224
9250401542887213
1058589061669012
1117739532997956
1266a2b52260470
13268cc03a5c824
141067a23510d80
156b90814d600c
hex354954356094

58589061669012 has 96 divisors (see below), whose sum is σ = 159933820096512. Its totient is φ = 16344003666816.

The previous prime is 58589061668989. The next prime is 58589061669023. The reversal of 58589061669012 is 21096616098585.

It is a super-2 number, since 2×585890616690122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5996038 + ... + 12374594.

It is an arithmetic number, because the mean of its divisors is an integer number (1665977292672).

Almost surely, 258589061669012 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 58589061669012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79966910048256).

58589061669012 is an abundant number, since it is smaller than the sum of its proper divisors (101344758427500).

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

58589061669012 is a wasteful number, since it uses less digits than its factorization.

58589061669012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6381157 (or 6381155 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 66.

The spelling of 58589061669012 in words is "fifty-eight trillion, five hundred eighty-nine billion, sixty-one million, six hundred sixty-nine thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 2543 3612 5086 7629 10172 15258 17801 30516 35602 53403 71204 106806 109349 213612 218698 328047 437396 656094 765443 1312188 1530886 2296329 3061772 4592658 6378557 9185316 12757114 19135671 25514228 38271342 44649899 76542684 89299798 133949697 178599596 267899394 274277951 535798788 548555902 822833853 1097111804 1645667706 1919945657 3291335412 3839891314 5759836971 7679782628 11519673942 16220670451 23039347884 32441340902 48662011353 64882681804 97324022706 113544693157 194648045412 227089386314 340634079471 454178772628 681268158942 697488829393 1362536317884 1394977658786 2092466488179 2789955317572 4184932976358 4882421805751 8369865952716 9764843611502 14647265417253 19529687223004 29294530834506 58589061669012