Search a number
-
+
13858197561 = 3213219312499
BaseRepresentation
bin11001110100000001…
…10101000000111001
31022202210122101012100
430322000311000321
5211340144310221
610211045134013
71000263510225
oct147200650071
938683571170
1013858197561
115971655a3a
1228290ba309
1313cb120300
14956723785
15561972926
hex33a035039

13858197561 has 108 divisors (see below), whose sum is σ = 23623470000. Its totient is φ = 7802982720.

The previous prime is 13858197553. The next prime is 13858197569. The reversal of 13858197561 is 16579185831.

It is a happy number.

13858197561 is a `hidden beast` number, since 1 + 3 + 8 + 581 + 9 + 7 + 56 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13858197553) and next prime (13858197569).

It is not a de Polignac number, because 13858197561 - 23 = 13858197553 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13858197498 and 13858197507.

It is not an unprimeable number, because it can be changed into a prime (13858197569) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27771690 + ... + 27772188.

Almost surely, 213858197561 is an apocalyptic number.

It is an amenable number.

13858197561 is a deficient number, since it is larger than the sum of its proper divisors (9765272439).

13858197561 is a wasteful number, since it uses less digits than its factorization.

13858197561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 565 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 13858197561 in words is "thirteen billion, eight hundred fifty-eight million, one hundred ninety-seven thousand, five hundred sixty-one".

Divisors: 1 3 9 13 19 31 39 57 93 117 169 171 247 279 403 499 507 589 741 961 1209 1497 1521 1767 2223 2883 3211 3627 4491 5239 5301 6487 7657 8649 9481 9633 12493 15469 15717 18259 19461 22971 28443 28899 37479 46407 47151 54777 58383 68913 84331 85329 99541 112437 123253 139221 162409 164331 201097 237367 252993 293911 298623 369759 479539 487227 603291 712101 758979 881733 895869 1109277 1438617 1461681 1602289 1809873 2136303 2614261 2645199 3085771 3820843 4315851 4806867 6234007 7842783 9111241 9257313 11462529 14420601 18702021 23528349 27333723 27771939 34387587 49670959 56106063 81042091 82001169 118446133 149012877 243126273 355338399 447038631 729378819 1066015197 1539799729 4619399187 13858197561