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53148635956344 = 23331210212257001
BaseRepresentation
bin11000001010110101000011…
…00100010000010001111000
320222011221220211012110100010
430011122201210100101320
523431241401301100334
6305012051333141520
714123601513440625
oct1405324144202170
9228157824173303
1053148635956344
1115a31234462805
125b6468a78a8a0
132386b830329b6
14d1a59ca5d34c
156227b83420e9
hex3056a1910478

53148635956344 has 96 divisors (see below), whose sum is σ = 137430567101520. Its totient is φ = 17127921600000.

The previous prime is 53148635956309. The next prime is 53148635956349. The reversal of 53148635956344 is 44365953684135.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53148635956349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22419844 + ... + 24676844.

Almost surely, 253148635956344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53148635956344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68715283550760).

53148635956344 is an abundant number, since it is smaller than the sum of its proper divisors (84281931145176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53148635956344 is a wasteful number, since it uses less digits than its factorization.

53148635956344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258093 (or 2258058 counting only the distinct ones).

The product of its digits is 559872000, while the sum is 66.

The spelling of 53148635956344 in words is "fifty-three trillion, one hundred forty-eight billion, six hundred thirty-five million, nine hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 961 1021 1922 2042 2883 3063 3844 4084 5766 6126 7688 8168 11532 12252 23064 24504 31651 63302 94953 126604 189906 253208 379812 759624 981181 1962362 2257001 2943543 3924724 4514002 5887086 6771003 7849448 9028004 11774172 13542006 18056008 23548344 27084012 54168024 69967031 139934062 209901093 279868124 419802186 559736248 839604372 1679208744 2168977961 2304398021 4337955922 4608796042 6506933883 6913194063 8675911844 9217592084 13013867766 13826388126 17351823688 18435184168 26027735532 27652776252 52055471064 55305552504 71436338651 142872677302 214309015953 285745354604 428618031906 571490709208 857236063812 1714472127624 2214526498181 4429052996362 6643579494543 8858105992724 13287158989086 17716211985448 26574317978172 53148635956344