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53441122114435 = 5112101874578547
BaseRepresentation
bin11000010011010101110110…
…00110011001101110000011
321000012220212200111202201011
430021222323012121232003
524001034404230130220
6305354302414421351
714153664552656536
oct1411527306315603
9230186780452634
1053441122114435
1116034286254400
125bb12b7801857
1323a86262680b3
14d2a7c7cc8a1d
1562a1d603765a
hex309abb199b83

53441122114435 has 24 divisors (see below), whose sum is σ = 71187195493008. Its totient is φ = 38481456024000.

The previous prime is 53441122114399. The next prime is 53441122114447.

53441122114435 is nontrivially palindromic in base 10.

53441122114435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53441122114435 - 221 = 53441120017283 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 437228169 + ... + 437350378.

It is an arithmetic number, because the mean of its divisors is an integer number (2966133145542).

Almost surely, 253441122114435 is an apocalyptic number.

53441122114435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53441122114435 is a deficient number, since it is larger than the sum of its proper divisors (17746073378573).

53441122114435 is a wasteful number, since it uses less digits than its factorization.

53441122114435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874578675 (or 874578664 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 5344112 and 2114435, that added together give a palindrome (7458547).

The spelling of 53441122114435 in words is "fifty-three trillion, four hundred forty-one billion, one hundred twenty-two million, one hundred fourteen thousand, four hundred thirty-five".

Divisors: 1 5 11 55 101 121 505 605 1111 5555 12221 61105 874578547 4372892735 9620364017 48101820085 88332433247 105824004187 441662166235 529120020935 971656765717 4858283828585 10688224422887 53441122114435