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13422146067 = 381132953
BaseRepresentation
bin11001000000000010…
…11011001000010011
31021122102010200000000
430200001123020103
5204442032133232
610055511101043
7653420234121
oct144001331023
937572120000
1013422146067
1157684a7000
122727071783
13135b998485
14914856911
1553853c27c
hex32005b213

13422146067 has 144 divisors (see below), whose sum is σ = 23339702880. Its totient is φ = 7705938240.

The previous prime is 13422146063. The next prime is 13422146083. The reversal of 13422146067 is 76064122431.

13422146067 is a `hidden beast` number, since 1 + 3 + 42 + 2 + 1 + 4 + 606 + 7 = 666.

It is not a de Polignac number, because 13422146067 - 22 = 13422146063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13422146063) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 253248013 + ... + 253248065.

It is an arithmetic number, because the mean of its divisors is an integer number (162081270).

Almost surely, 213422146067 is an apocalyptic number.

13422146067 is a deficient number, since it is larger than the sum of its proper divisors (9917556813).

13422146067 is an frugal number, since it uses more digits than its factorization.

13422146067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 13422146067 its reverse (76064122431), we get a palindrome (89486268498).

The spelling of 13422146067 in words is "thirteen billion, four hundred twenty-two million, one hundred forty-six thousand, sixty-seven".

Divisors: 1 3 9 11 27 29 33 53 81 87 99 121 159 243 261 297 319 363 477 583 729 783 891 957 1089 1331 1431 1537 1749 2187 2349 2673 2871 3267 3509 3993 4293 4611 5247 6413 6561 7047 8019 8613 9801 10527 11979 12879 13833 15741 16907 19239 21141 24057 25839 29403 31581 35937 38599 38637 41499 47223 50721 57717 63423 70543 72171 77517 88209 94743 107811 115797 115911 124497 141669 152163 173151 185977 190269 211629 232551 264627 284229 323433 347391 347733 373491 425007 456489 519453 557931 634887 697653 793881 852687 970299 1042173 1120473 1275021 1369467 1558359 1673793 1904661 2045747 2092959 2558061 2910897 3126519 3361419 3825063 4108401 4675077 5021379 5713983 6137241 7674183 8732691 9379557 10084257 12325203 14025231 15064137 17141949 18411723 23022549 28138671 36975609 42075693 45192411 51425847 55235169 84416013 110926827 135577233 154277541 165705507 253248039 406731699 462832623 497116521 1220195097 1491349563 4474048689 13422146067