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252116661202601 = 1329403158653043
BaseRepresentation
bin111001010100110001111100…
…000010000110111010101001
31020001200010011121021022011212
4321110301330002012322221
5231021134410231440401
62252112443434202505
7104050553615305136
oct7124617402067251
91201603147238155
10252116661202601
1173372091643448
1224339a93883435
13aa8a6647b5c00
14463872382958d
151e231ed9b8dbb
hexe54c7c086ea9

252116661202601 has 12 divisors (see below), whose sum is σ = 273031100317008. Its totient is φ = 232698320537904.

The previous prime is 252116661202591. The next prime is 252116661202621. The reversal of 252116661202601 is 106202166611252.

It is not a de Polignac number, because 252116661202601 - 26 = 252116661202537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252116661202621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77737415 + ... + 80915628.

It is an arithmetic number, because the mean of its divisors is an integer number (22752591693084).

Almost surely, 2252116661202601 is an apocalyptic number.

It is an amenable number.

252116661202601 is a deficient number, since it is larger than the sum of its proper divisors (20914439114407).

252116661202601 is a wasteful number, since it uses less digits than its factorization.

252116661202601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158662472 (or 158662459 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 252116661202601 in words is "two hundred fifty-two trillion, one hundred sixteen billion, six hundred sixty-one million, two hundred two thousand, six hundred one".

Divisors: 1 13 169 9403 122239 1589107 158653043 2062489559 26812364267 1491814563329 19393589323277 252116661202601