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11969397649512 = 233447400198227
BaseRepresentation
bin1010111000101101011110…
…1100011111000001101000
31120101021002220100121220000
42232023113230133001220
53032101311244241022
641242355415303000
72343521555224542
oct256132754370150
946337086317800
1011969397649512
1138a5213a27a56
1214138bb07aa60
1368a92b5b80a4
142d5471578692
1515b5414b26ac
hexae2d7b1f068

11969397649512 has 160 divisors (see below), whose sum is σ = 34247608686720. Its totient is φ = 3903894144000.

The previous prime is 11969397649477. The next prime is 11969397649541. The reversal of 11969397649512 is 21594679396911.

11969397649512 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 9 + 39 + 76 + 4 + 9 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 121805343 + ... + 121903569.

It is an arithmetic number, because the mean of its divisors is an integer number (214047554292).

Almost surely, 211969397649512 is an apocalyptic number.

11969397649512 is a gapful number since it is divisible by the number (12) 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 11969397649512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123804343360).

11969397649512 is an abundant number, since it is smaller than the sum of its proper divisors (22278211037208).

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

11969397649512 is a wasteful number, since it uses less digits than its factorization.

11969397649512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102293 (or 102280 counting only the distinct ones).

The product of its digits is 198404640, while the sum is 72.

The spelling of 11969397649512 in words is "eleven trillion, nine hundred sixty-nine billion, three hundred ninety-seven million, six hundred forty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 282 324 376 423 564 648 846 1128 1269 1692 2538 3384 3807 4001 5076 7614 8002 10152 12003 15228 16004 24006 30456 32008 36009 48012 72018 96024 98227 108027 144036 188047 196454 216054 288072 294681 324081 376094 392908 432108 564141 589362 648162 752188 785816 864216 884043 1128282 1178724 1296324 1504376 1692423 1768086 2256564 2357448 2592648 2652129 3384846 3536172 4513128 4616669 5077269 5304258 6769692 7072344 7956387 9233338 10154538 10608516 13539384 13850007 15231807 15912774 18466676 20309076 21217032 27700014 30463614 31825548 36933352 40618152 41550021 55400028 60927228 63651096 83100042 110800056 121854456 124650063 166200084 249300126 332400168 373950189 393006227 498600252 747900378 786012454 997200504 1179018681 1495800756 1572024908 2358037362 2991601512 3144049816 3537056043 4716074724 7074112086 9432149448 10611168129 14148224172 18471292669 21222336258 28296448344 31833504387 36942585338 42444672516 55413878007 63667008774 73885170676 84889345032 110827756014 127334017548 147770341352 166241634021 221655512028 254668035096 332483268042 443311024056 498724902063 664966536084 997449804126 1329933072168 1496174706189 1994899608252 2992349412378 3989799216504 5984698824756 11969397649512