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2002152661405 = 5131729401155809
BaseRepresentation
bin11101001000101001100…
…110010010000110011101
321002101220110110101021021
4131020221212102012131
5230300402040131110
64131435400004141
7264436131552601
oct35105146220635
97071813411237
102002152661405
11702120a881a6
12284044a60651
13116a5752cb10
146cc94727501
1537131e982da
hex1d22999219d

2002152661405 has 64 divisors (see below), whose sum is σ = 2841151723200. Its totient is φ = 1340198092800.

The previous prime is 2002152661403. The next prime is 2002152661409. The reversal of 2002152661405 is 5041662512002.

It can be written as a sum of positive squares in 32 ways, for example, as 1180234540996 + 821918120409 = 1086386^2 + 906597^2 .

It is not a de Polignac number, because 2002152661405 - 21 = 2002152661403 is a prime.

It is a super-2 number, since 2×20021526614052 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002152661403) 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 63 ways as a sum of consecutive naturals, for example, 12772141 + ... + 12927949.

It is an arithmetic number, because the mean of its divisors is an integer number (44392995675).

Almost surely, 22002152661405 is an apocalyptic number.

It is an amenable number.

2002152661405 is a deficient number, since it is larger than the sum of its proper divisors (838999061795).

2002152661405 is a wasteful number, since it uses less digits than its factorization.

2002152661405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156274.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 2002152661405 in words is "two trillion, two billion, one hundred fifty-two million, six hundred sixty-one thousand, four hundred five".

Divisors: 1 5 13 17 29 65 85 145 221 377 401 493 1105 1885 2005 2465 5213 6409 6817 11629 26065 32045 34085 58145 88621 151177 155809 197693 443105 755885 779045 988465 2025517 2570009 2648753 4518461 10127585 12850045 13243765 22592305 34433789 58739993 62479409 76813837 172168945 293699965 312397045 384069185 812232317 998579881 1062149953 1811902861 4061161585 4992899405 5310749765 9059514305 13807949389 23554737193 30802348637 69039746945 117773685965 154011743185 400430532281 2002152661405