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2002677648073 is a prime number
BaseRepresentation
bin11101001001001000111…
…000111100101011001001
321002110021001022110120221
4131021020320330223021
5230302440434214243
64132003432150041
7264455135065144
oct35111070745311
97073231273527
102002677648073
11702370360483
12284170838321
13116b0c22300b
146cd0434505b
15371630e9bed
hex1d248e3cac9

2002677648073 has 2 divisors, whose sum is σ = 2002677648074. Its totient is φ = 2002677648072.

The previous prime is 2002677648047. The next prime is 2002677648089. The reversal of 2002677648073 is 3708467762002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1963706150329 + 38971497744 = 1401323^2 + 197412^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002677648073 is a prime.

It is a super-2 number, since 2×20026776480732 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2002677648073.

It is not a weakly prime, because it can be changed into another prime (2002677688073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001338824036 + 1001338824037.

It is an arithmetic number, because the mean of its divisors is an integer number (1001338824037).

Almost surely, 22002677648073 is an apocalyptic number.

It is an amenable number.

2002677648073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002677648073 is an equidigital number, since it uses as much as digits as its factorization.

2002677648073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4741632, while the sum is 52.

The spelling of 2002677648073 in words is "two trillion, two billion, six hundred seventy-seven million, six hundred forty-eight thousand, seventy-three".