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3818080828081 = 132292712732
BaseRepresentation
bin110111100011110111010…
…110011111101010110001
3111112000010121200020202001
4313203313112133222301
51000023412142444311
612042000242454001
7542563413363442
oct67436726375261
914460117606661
103818080828081
11124226a0aa1a3
12517b77664301
1321907469a100
14d2b206c92c9
15694b50584c1
hex378f759fab1

3818080828081 has 81 divisors (see below), whose sum is σ = 4403317537827. Its totient is φ = 3308966519040.

The previous prime is 3818080828073. The next prime is 3818080828087. The reversal of 3818080828081 is 1808280808183.

The square root of 3818080828081 is 1953991.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2981807157681 + 836273670400 = 1726791^2 + 914480^2 .

It is not a de Polignac number, because 3818080828081 - 23 = 3818080828073 is a prime.

It is a super-2 number, since 2×38180808280812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3818080828087) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 52302477061 + ... + 52302477133.

Almost surely, 23818080828081 is an apocalyptic number.

3818080828081 is the 1953991-st square number.

3818080828081 is the 976996-th centered octagonal number.

It is an amenable number.

3818080828081 is a deficient number, since it is larger than the sum of its proper divisors (585236709746).

3818080828081 is an frugal number, since it uses more digits than its factorization.

3818080828081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 55.

The spelling of 3818080828081 in words is "three trillion, eight hundred eighteen billion, eighty million, eight hundred twenty-eight thousand, eighty-one".

Divisors: 1 13 29 71 73 169 377 841 923 949 2059 2117 4901 5041 5183 5329 10933 11999 12337 26767 27521 59711 61393 65533 67379 69277 142129 146189 150307 154541 347971 357773 367993 378359 776243 798109 851929 875927 900601 1900457 1953991 2009033 4239481 4358903 4481689 4783909 4918667 10091159 10375417 10671797 10972411 24705941 25401883 26117429 26863489 55113253 56665739 58261957 62190817 63942671 138733361 142641343 309482113 318199919 349225357 716472289 736654607 757405441 779041181 1803533693 1854337459 4023267469 4136598947 4539929641 10127535353 22592194249 52302477097 53775786311 131657959589 293698525237 3818080828081