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13292881434 = 2337178324923
BaseRepresentation
bin11000110000101000…
…10100011000011010
31021022101220100021000
430120110110120122
5204210434201214
610035012325430
7650260425240
oct143024243032
937271810230
1013292881434
115701537628
1226ab913876
13133ac79621
14901608790
1552c006809
hex31851461a

13292881434 has 128 divisors (see below), whose sum is σ = 36177684480. Its totient is φ = 3531347712.

The previous prime is 13292881397. The next prime is 13292881439. The reversal of 13292881434 is 43418829231.

13292881434 is a `hidden beast` number, since 1 + 329 + 288 + 1 + 43 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13292881434.

It is not an unprimeable number, because it can be changed into a prime (13292881439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520897 + ... + 545819.

It is an arithmetic number, because the mean of its divisors is an integer number (282638160).

Almost surely, 213292881434 is an apocalyptic number.

13292881434 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 13292881434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18088842240).

13292881434 is an abundant number, since it is smaller than the sum of its proper divisors (22884803046).

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

13292881434 is a wasteful number, since it uses less digits than its factorization.

13292881434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25041 (or 25035 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 13292881434 in words is "thirteen billion, two hundred ninety-two million, eight hundred eighty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 83 102 119 126 153 166 189 238 249 306 357 378 459 498 581 714 747 918 1071 1162 1411 1494 1743 2142 2241 2822 3213 3486 4233 4482 5229 6426 8466 9877 10458 12699 15687 19754 24923 25398 29631 31374 38097 49846 59262 74769 76194 88893 149538 174461 177786 224307 266679 348922 423691 448614 523383 533358 672921 847382 1046766 1271073 1345842 1570149 2068609 2542146 2965837 3140298 3813219 4137218 4710447 5931674 6205827 7626438 8897511 9420894 11439657 12411654 14480263 17795022 18617481 22879314 26692533 28960526 35166353 37234962 43440789 53385066 55852443 70332706 80077599 86881578 105499059 111704886 130322367 160155198 210998118 246164471 260644734 316497177 390967101 492328942 632994354 738493413 781934202 949491531 1476986826 1898983062 2215480239 4430960478 6646440717 13292881434