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12730460026704 = 2437471009798943
BaseRepresentation
bin1011100101000000101010…
…0011000011011101010000
31200002000112122111011220120
42321100022203003131100
53132033440231323304
643024143111310240
72452513444544430
oct271201243033520
950060478434816
1012730460026704
114068a59891392
1215172b937b380
1371462861c364
1432022c47a2c0
151712361c10d9
hexb940a8c3750

12730460026704 has 160 divisors (see below), whose sum is σ = 38422942679040. Its totient is φ = 3556352894976.

The previous prime is 12730460026649. The next prime is 12730460026721. The reversal of 12730460026704 is 40762006403721.

It is a super-2 number, since 2×127304600267042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15534657 + ... + 16333599.

It is an arithmetic number, because the mean of its divisors is an integer number (240143391744).

Almost surely, 212730460026704 is an apocalyptic number.

12730460026704 is a gapful number since it is divisible by the number (14) 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 12730460026704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19211471339520).

12730460026704 is an abundant number, since it is smaller than the sum of its proper divisors (25692482652336).

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

12730460026704 is a wasteful number, since it uses less digits than its factorization.

12730460026704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800017 (or 800011 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 12730460026704 in words is "twelve trillion, seven hundred thirty billion, four hundred sixty million, twenty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1009 1128 1316 1974 2018 2256 2632 3027 3948 4036 5264 6054 7063 7896 8072 12108 14126 15792 16144 21189 24216 28252 42378 47423 48432 56504 84756 94846 113008 142269 169512 189692 284538 331961 339024 379384 569076 663922 758768 798943 995883 1138152 1327844 1597886 1991766 2276304 2396829 2655688 3195772 3983532 4793658 5311376 5592601 6391544 7967064 9587316 11185202 12783088 15934128 16777803 19174632 22370404 33555606 37550321 38349264 44740808 67111212 75100642 89481616 112650963 134222424 150201284 225301926 262852247 268444848 300402568 450603852 525704494 600805136 788556741 806133487 901207704 1051408988 1577113482 1612266974 1802415408 2102817976 2418400461 3154226964 3224533948 4205635952 4836800922 5642934409 6308453928 6449067896 9673601844 11285868818 12616907856 12898135792 16928803227 19347203688 22571737636 33857606454 37888273889 38694407376 45143475272 67715212908 75776547778 90286950544 113664821667 135430425816 151553095556 227329643334 265217917223 270860851632 303106191112 454659286668 530435834446 606212382224 795653751669 909318573336 1060871668892 1591307503338 1818637146672 2121743337784 3182615006676 4243486675568 6365230013352 12730460026704