Search a number
-
+
12606017460 = 22351273374909
BaseRepresentation
bin10111011110110000…
…01000111110110100
31012112112110001000120
423233120020332310
5201304120024320
65442514411540
7624250244331
oct135730107664
935475401016
1012606017460
11538984a553
122539890bb0
13125b88933a
148782cd988
154dba7b440
hex2ef608fb4

12606017460 has 96 divisors (see below), whose sum is σ = 35687608320. Its totient is φ = 3324561408.

The previous prime is 12606017449. The next prime is 12606017461. The reversal of 12606017460 is 6471060621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12606017461) by changing a digit.

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, 2565486 + ... + 2570394.

It is an arithmetic number, because the mean of its divisors is an integer number (371745920).

Almost surely, 212606017460 is an apocalyptic number.

12606017460 is a gapful number since it is divisible by the number (10) 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 12606017460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17843804160).

12606017460 is an abundant number, since it is smaller than the sum of its proper divisors (23081590860).

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

12606017460 is a wasteful number, since it uses less digits than its factorization.

12606017460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385 (or 5383 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 12606017460 in words is "twelve billion, six hundred six million, seventeen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 337 381 508 635 674 762 1011 1270 1348 1524 1685 1905 2022 2540 3370 3810 4044 4909 5055 6740 7620 9818 10110 14727 19636 20220 24545 29454 42799 49090 58908 73635 85598 98180 128397 147270 171196 213995 256794 294540 427990 513588 623443 641985 855980 1246886 1283970 1654333 1870329 2493772 2567940 3117215 3308666 3740658 4962999 6234430 6617332 7481316 8271665 9351645 9925998 12468860 16543330 18703290 19851996 24814995 33086660 37406580 49629990 99259980 210100291 420200582 630300873 840401164 1050501455 1260601746 2101002910 2521203492 3151504365 4202005820 6303008730 12606017460