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12604197834 = 2331747614789
BaseRepresentation
bin10111011110100010…
…01100101111001010
31012112102000120222000
423233101030233022
5201303133312314
65442411411430
7624225625314
oct135721145712
935472016860
1012604197834
115388817428
122539153b76
13125b3a0037
14877d787b4
154db81c209
hex2ef44cbca

12604197834 has 128 divisors (see below), whose sum is σ = 30790886400. Its totient is φ = 3805885440.

The previous prime is 12604197811. The next prime is 12604197857. The reversal of 12604197834 is 43879140621.

12604197834 is a `hidden beast` number, since 1 + 2 + 604 + 1 + 9 + 7 + 8 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (12604197811) and next prime (12604197857).

It is a super-2 number, since 2×126041978342 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12604197834.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2629512 + ... + 2634300.

It is an arithmetic number, because the mean of its divisors is an integer number (240553800).

Almost surely, 212604197834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12604197834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15395443200).

12604197834 is an abundant number, since it is smaller than the sum of its proper divisors (18186688566).

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

12604197834 is a wasteful number, since it uses less digits than its factorization.

12604197834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12604197834 in words is "twelve billion, six hundred four million, one hundred ninety-seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 61 94 102 122 141 153 183 282 306 366 423 459 549 799 846 918 1037 1098 1269 1598 1647 2074 2397 2538 2867 3111 3294 4789 4794 5734 6222 7191 8601 9333 9578 14367 14382 17202 18666 21573 25803 27999 28734 43101 43146 48739 51606 55998 77409 81413 86202 97478 129303 146217 154818 162826 225083 244239 258606 292129 292434 438651 450166 488478 584258 675249 732717 876387 877302 1315953 1350498 1465434 1752774 2025747 2198151 2629161 2631906 3826411 4051494 4396302 4966193 5258322 6077241 7652822 7887483 9932386 11479233 12154482 13730063 14898579 15774966 22958466 27460126 29797158 34437699 41190189 44695737 68875398 82380378 89391474 103313097 123570567 134087211 206626194 233411071 247141134 268174422 370711701 466822142 700233213 741423402 1400466426 2100699639 4201399278 6302098917 12604197834