Search a number
-
+
12691356004840 = 23510921493135433
BaseRepresentation
bin1011100010101110111111…
…0001000011000111101000
31122221021121102101001100111
42320223233301003013220
53130413344114123330
642554154540344104
72446630430051662
oct270535761030750
948837542331314
1012691356004840
114053412668a47
12150b805545034
13710a36085996
1431c39cc9d532
151701e81be32a
hexb8aefc431e8

12691356004840 has 64 divisors (see below), whose sum is σ = 28819082120400. Its totient is φ = 5029697452032.

The previous prime is 12691356004763. The next prime is 12691356004843. The reversal of 12691356004840 is 4840065319621.

It can be written as a sum of positive squares in 8 ways, for example, as 8488470596004 + 4202885408836 = 2913498^2 + 2050094^2 .

It is a super-2 number, since 2×126913560048402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12691356004843) 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 15 ways as a sum of consecutive naturals, for example, 93641764 + ... + 93777196.

Almost surely, 212691356004840 is an apocalyptic number.

12691356004840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12691356004840 is an abundant number, since it is smaller than the sum of its proper divisors (16127726115560).

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

12691356004840 is a wasteful number, since it uses less digits than its factorization.

12691356004840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157046 (or 157042 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 12691356004840 in words is "twelve trillion, six hundred ninety-one billion, three hundred fifty-six million, four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 21493 42986 85972 107465 135433 171944 214930 270866 429860 541732 677165 859720 1083464 1354330 2342737 2708660 4685474 5417320 9370948 11713685 14762197 18741896 23427370 29524394 46854740 59048788 73810985 93709480 118097576 147621970 295243940 590487880 2910861469 5821722938 11643445876 14554307345 23286891752 29108614690 58217229380 116434458760 317283900121 634567800242 1269135600484 1586419500605 2538271200968 3172839001210 6345678002420 12691356004840