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13531025442 = 2311232599647
BaseRepresentation
bin11001001101000001…
…10001000000100010
31021221000000022102110
430212200301000202
5210202420303232
610114400500150
7656211550524
oct144640610042
937830008373
1013531025442
115813a02760
12275761a656
1313783ca73c
149250b9a14
15542d97acc
hex326831022

13531025442 has 96 divisors (see below), whose sum is σ = 30960921600. Its totient is φ = 3909436960.

The previous prime is 13531025411. The next prime is 13531025471. The reversal of 13531025442 is 24452013531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20913163 + ... + 20913809.

It is an arithmetic number, because the mean of its divisors is an integer number (322509600).

Almost surely, 213531025442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531025442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15480460800).

13531025442 is an abundant number, since it is smaller than the sum of its proper divisors (17429896158).

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

13531025442 is a wasteful number, since it uses less digits than its factorization.

13531025442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13531025442 its reverse (24452013531), we get a palindrome (37983038973).

The spelling of 13531025442 in words is "thirteen billion, five hundred thirty-one million, twenty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 529 599 647 759 1058 1198 1294 1518 1587 1797 1941 3174 3594 3882 5819 6589 7117 11638 13178 13777 14234 14881 17457 19767 21351 27554 29762 34914 39534 41331 42702 44643 82662 89286 151547 163691 303094 316871 327382 342263 387553 454641 491073 633742 684526 775106 909282 950613 982146 1026789 1162659 1901226 2053578 2325318 3485581 3764893 4263083 6971162 7529786 8526166 8913719 10456743 11294679 12789249 17827438 20913486 22589358 25578498 26741157 53482314 98050909 196101818 205015537 294152727 410031074 588305454 615046611 1230093222 2255170907 4510341814 6765512721 13531025442