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16645902361 = 1123723172
BaseRepresentation
bin11111000000010110…
…00101000000011001
31120222002012110021021
433200023011000121
5233042322333421
611351431242441
71126333556404
oct174013050031
946862173237
1016645902361
1170721a5900
123286819421
13175383408a
14b3ca66d3b
1567657e341
hex3e02c5019

16645902361 has 27 divisors (see below), whose sum is σ = 18864114717. Its totient is φ = 14677201440.

The previous prime is 16645902331. The next prime is 16645902373. The reversal of 16645902361 is 16320954661.

The square root of 16645902361 is 129019.

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

It can be written as a sum of positive squares in 4 ways, for example, as 138791961 + 16507110400 = 11781^2 + 128480^2 .

It is not a de Polignac number, because 16645902361 - 215 = 16645869593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16645902331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52510575 + ... + 52510891.

Almost surely, 216645902361 is an apocalyptic number.

16645902361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16645902361 is the 129019-th square number.

16645902361 is the 64510-th centered octagonal number.

It is an amenable number.

16645902361 is a deficient number, since it is larger than the sum of its proper divisors (2218212356).

16645902361 is an frugal number, since it uses more digits than its factorization.

16645902361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 16645902361 in words is "sixteen billion, six hundred forty-five million, nine hundred two thousand, three hundred sixty-one".

Divisors: 1 11 37 121 317 407 1369 3487 4477 11729 15059 38357 100489 129019 165649 433973 1105379 1419209 3718093 4773703 12159169 40899023 52510733 137569441 449889253 1513263851 16645902361