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13771007481 = 3721161149937
BaseRepresentation
bin11001101001101000…
…01110010111111001
31022112201120122220010
430310310032113321
5211200334214411
610154252252133
7665154426600
oct146464162771
938481518803
1013771007481
115927413820
122803a71049
1313b604334a
14948d08a37
15558e9d7a6
hex334d0e5f9

13771007481 has 96 divisors (see below), whose sum is σ = 23867222400. Its totient is φ = 6981811200.

The previous prime is 13771007479. The next prime is 13771007489. The reversal of 13771007481 is 18470017731.

It is a happy number.

It is not a de Polignac number, because 13771007481 - 21 = 13771007479 is a prime.

It is a super-2 number, since 2×137710074812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13771007489) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14696445 + ... + 14697381.

It is an arithmetic number, because the mean of its divisors is an integer number (248616900).

Almost surely, 213771007481 is an apocalyptic number.

13771007481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13771007481 is a deficient number, since it is larger than the sum of its proper divisors (10096214919).

13771007481 is a wasteful number, since it uses less digits than its factorization.

13771007481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

The spelling of 13771007481 in words is "thirteen billion, seven hundred seventy-one million, seven thousand, four hundred eighty-one".

Divisors: 1 3 7 11 21 33 49 61 77 147 149 183 231 427 447 539 671 937 1043 1281 1617 1639 2013 2811 2989 3129 4697 4917 6559 7301 8967 9089 10307 11473 14091 19677 21903 27267 30921 32879 34419 45913 57157 63623 72149 80311 98637 99979 137739 139613 171471 190869 216447 240933 299937 400099 418839 445361 505043 628727 699853 977291 1200297 1336083 1515129 1535743 1886181 2099559 2800693 2931873 4401089 4607229 4898971 6841037 8402079 8516393 10750201 13203267 14696913 20523111 25549179 30807623 32250603 59614751 75251407 92422869 93680323 178844253 225754221 281040969 417303257 655762261 1251909771 1967286783 4590335827 13771007481