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12605580834 = 23711212719531
BaseRepresentation
bin10111011110101100…
…11110011000100010
31012112111121212002020
423233112132120202
5201304012041314
65442501202310
7624243445350
oct135726363042
935474555066
1012605580834
115389581500
122539700396
13125b765692
148782187d0
154db9e1da9
hex2ef59e622

12605580834 has 96 divisors (see below), whose sum is σ = 31921225728. Its totient is φ = 3248229600.

The previous prime is 12605580803. The next prime is 12605580839. The reversal of 12605580834 is 43808550621.

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

It is not an unprimeable number, because it can be changed into a prime (12605580839) 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 47 ways as a sum of consecutive naturals, for example, 635649 + ... + 655179.

It is an arithmetic number, because the mean of its divisors is an integer number (332512768).

Almost surely, 212605580834 is an apocalyptic number.

12605580834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12605580834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960612864).

12605580834 is an abundant number, since it is smaller than the sum of its proper divisors (19315644894).

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

12605580834 is a wasteful number, since it uses less digits than its factorization.

12605580834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19692 (or 19681 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 12605580834 in words is "twelve billion, six hundred five million, five hundred eighty thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 127 154 231 242 254 363 381 462 726 762 847 889 1397 1694 1778 2541 2667 2794 4191 5082 5334 8382 9779 15367 19531 19558 29337 30734 39062 46101 58593 58674 92202 107569 117186 136717 214841 215138 273434 322707 410151 429682 644523 645414 820302 1289046 1503887 2363251 2480437 3007774 4511661 4726502 4960874 7089753 7441311 9023322 14179506 14882622 16542757 17363059 27284807 33085514 34726118 49628271 52089177 54569614 81854421 99256542 104178354 163708842 190993649 300132877 381987298 572980947 600265754 900398631 1145961894 1800797262 2100930139 4201860278 6302790417 12605580834