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53345366354336 = 2571313258755787
BaseRepresentation
bin11000010000100011011111…
…00111001010100110100000
320222212202201022011011001212
430020101233213022212200
523443002302241314321
6305242304544245252
714144034623306360
oct1410215747124640
9228782638134055
1053345366354336
1115aa7708661591
125b96833310828
13239c5a5b53a14
14d25d027d89a0
1562797e71a55b
hex30846f9ca9a0

53345366354336 has 96 divisors (see below), whose sum is σ = 120949190917632. Its totient is φ = 22686675598080.

The previous prime is 53345366354311. The next prime is 53345366354339. The reversal of 53345366354336 is 63345366354335.

It is a super-2 number, since 2×533453663543362 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53345366354339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956205035 + ... + 956260821.

It is an arithmetic number, because the mean of its divisors is an integer number (1259887405392).

Almost surely, 253345366354336 is an apocalyptic number.

53345366354336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53345366354336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60474595458816).

53345366354336 is an abundant number, since it is smaller than the sum of its proper divisors (67603824563296).

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

53345366354336 is a wasteful number, since it uses less digits than its factorization.

53345366354336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88522 (or 88514 counting only the distinct ones).

The product of its digits is 314928000, while the sum is 59.

Subtracting 53345366354336 from its reverse (63345366354335), we obtain a palindrome (9999999999999).

The spelling of 53345366354336 in words is "fifty-three trillion, three hundred forty-five billion, three hundred sixty-six million, three hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1834 2096 3668 4192 7336 14672 29344 32587 55787 65174 111574 130348 223148 228109 260696 390509 446296 456218 521392 781018 892592 912436 1042784 1562036 1785184 1824872 3124072 3649744 4268897 6248144 7299488 7308097 8537794 12496288 14616194 17075588 29232388 29882279 34151176 51156679 58464776 59764558 68302352 102313358 116929552 119529116 136604704 204626716 233859104 239058232 409253432 478116464 818506864 956232928 1637013728 1817930969 3635861938 7271723876 12725516783 14543447752 25451033566 29086895504 50902067132 58173791008 101804134264 203608268528 238148956939 407216537056 476297913878 952595827756 1667042698573 1905191655512 3334085397146 3810383311024 6668170794292 7620766622048 13336341588584 26672683177168 53345366354336