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53215744482056 = 231323111091144907
BaseRepresentation
bin11000001100110010000011…
…00010111101101100001000
320222102101010201201210011102
430012121001202331230020
523433341321041411211
6305102550413520532
714131465520466242
oct1406310142755410
9228371121653142
1053215744482056
1115a57741479402
125b756991a3148
1323902b9403100
14d1d92763d092
156243e4b99a3b
hex3066418bdb08

53215744482056 has 96 divisors (see below), whose sum is σ = 111631277779200. Its totient is φ = 23747365474560.

The previous prime is 53215744482041. The next prime is 53215744482073. The reversal of 53215744482056 is 65028444751235.

It is a super-2 number, since 2×532157444820562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53215744481992 and 53215744482010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45907955 + ... + 47052861.

It is an arithmetic number, because the mean of its divisors is an integer number (1162825810200).

Almost surely, 253215744482056 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 53215744482056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55815638889600).

53215744482056 is an abundant number, since it is smaller than the sum of its proper divisors (58415533297144).

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

53215744482056 is a wasteful number, since it uses less digits than its factorization.

53215744482056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146079 (or 1146062 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 56.

The spelling of 53215744482056 in words is "fifty-three trillion, two hundred fifteen billion, seven hundred forty-four million, four hundred eighty-two thousand, fifty-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 248 338 403 676 806 1109 1352 1612 2218 3224 4436 5239 8872 10478 14417 20956 28834 34379 41912 57668 68758 115336 137516 187421 275032 374842 446927 749684 893854 1144907 1499368 1787708 2289814 3575416 4579628 5810051 9159256 11620102 14883791 23240204 29767582 35492117 46480408 59535164 70984234 119070328 141968468 193489283 283936936 386978566 461397521 773957132 922795042 1269701863 1547914264 1845590084 2539403726 3691180168 5078807452 5998167773 10157614904 11996335546 16506124219 23992671092 33012248438 39360757753 47985342184 66024496876 78721515506 132048993752 157443031012 214579614847 314886062024 429159229694 511689850789 858318459388 1023379701578 1716636918776 2046759403156 4093518806312 6651968060257 13303936120514 26607872241028 53215744482056