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53342433424335 = 35111791806075281
BaseRepresentation
bin11000010000011110000001…
…10010111011001111001111
320222212111010220022212110210
430020033000302323033033
523442430300424034320
6305241101533333503
714143602140645136
oct1410170062731717
9228774126285423
1053342433424335
1115aa64430408a0
125b96155037293
13239c229323493
14d25b0509091d
1562785bec40e0
hex3083c0cbb3cf

53342433424335 has 32 divisors (see below), whose sum is σ = 93626942618880. Its totient is φ = 25718511987200.

The previous prime is 53342433424333. The next prime is 53342433424409.

It is a happy number.

53342433424335 is nontrivially palindromic in base 10.

53342433424335 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 53342433424335 - 21 = 53342433424333 is a prime.

It is a super-2 number, since 2×533424334243352 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53342433424333) 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 31 ways as a sum of consecutive naturals, for example, 903008106 + ... + 903067175.

It is an arithmetic number, because the mean of its divisors is an integer number (2925841956840).

Almost surely, 253342433424335 is an apocalyptic number.

53342433424335 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53342433424335 is a deficient number, since it is larger than the sum of its proper divisors (40284509194545).

53342433424335 is a wasteful number, since it uses less digits than its factorization.

53342433424335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806075479.

The product of its digits is 18662400, while the sum is 48.

It can be divided in two parts, 5334243 and 3424335, that added together give a palindrome (8758578).

The spelling of 53342433424335 in words is "fifty-three trillion, three hundred forty-two billion, four hundred thirty-three million, four hundred twenty-four thousand, three hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 165 179 537 895 1969 2685 5907 9845 29535 1806075281 5418225843 9030376405 19866828091 27091129215 59600484273 99334140455 298002421365 323287475299 969862425897 1616437376495 3556162228289 4849312129485 10668486684867 17780811141445 53342433424335