Search a number
-
+
13056621435 = 32511132179181
BaseRepresentation
bin11000010100011110…
…00011101101111011
31020200221100002110200
430022033003231323
5203214443341220
65555332413243
7641361310464
oct141217035573
936627302420
1013056621435
1155a0138a30
122644777223
131301037c00
148bc0a7d6b
155163d8890
hex30a3c3b7b

13056621435 has 144 divisors (see below), whose sum is σ = 28309795488. Its totient is φ = 5499187200.

The previous prime is 13056621407. The next prime is 13056621443. The reversal of 13056621435 is 53412665031.

13056621435 is a `hidden beast` number, since 1 + 30 + 566 + 21 + 43 + 5 = 666.

It is not a de Polignac number, because 13056621435 - 27 = 13056621307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13056621435.

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 143 ways as a sum of consecutive naturals, for example, 1417545 + ... + 1426725.

It is an arithmetic number, because the mean of its divisors is an integer number (196595802).

Almost surely, 213056621435 is an apocalyptic number.

13056621435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13056621435 is an abundant number, since it is smaller than the sum of its proper divisors (15253174053).

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

13056621435 is a wasteful number, since it uses less digits than its factorization.

13056621435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13056621435 in words is "thirteen billion, fifty-six million, six hundred twenty-one thousand, four hundred thirty-five".

Divisors: 1 3 5 9 11 13 15 17 33 39 45 51 55 65 85 99 117 143 153 165 169 187 195 221 255 429 495 507 561 585 663 715 765 845 935 1105 1287 1521 1683 1859 1989 2145 2431 2535 2805 2873 3315 5577 6435 7293 7605 8415 8619 9181 9295 9945 12155 14365 16731 21879 25857 27543 27885 31603 36465 43095 45905 82629 83655 94809 100991 109395 119353 129285 137715 156077 158015 284427 302973 358059 413145 468231 474045 504955 596765 780385 908919 1074177 1312883 1404693 1422135 1514865 1551589 1716847 1790295 2029001 2341155 3938649 4544595 4654767 5150541 5370885 6087003 6564415 7023465 7757945 8584235 10145005 11815947 13964301 15451623 17067479 18261009 19693245 22319011 23273835 25752705 26377013 30435015 51202437 59079735 66957033 69821505 77258115 79131039 85337395 91305045 111595055 131885065 153607311 200871099 237393117 256012185 290147143 334785165 395655195 768036555 870441429 1004355495 1186965585 1450735715 2611324287 4352207145 13056621435