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10357117366344 = 233761649508133
BaseRepresentation
bin1001011010110111010001…
…0011010011000001001000
31100200010112022120010100020
42112231310103103001020
52324142334021210334
634005554413340440
72116164011023620
oct226556423230110
940603468503306
1010357117366344
113333479820011
1211b3341797720
135a1897444008
1427b403d4d880
1512e62bc45e49
hex96b744d3048

10357117366344 has 32 divisors (see below), whose sum is σ = 29591763904320. Its totient is φ = 2959176390336.

The previous prime is 10357117366279. The next prime is 10357117366429. The reversal of 10357117366344 is 44366371175301.

It is a super-3 number, since 3×103571173663443 (a number of 40 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 30824753899 + ... + 30824754234.

It is an arithmetic number, because the mean of its divisors is an integer number (924742622010).

Almost surely, 210357117366344 is an apocalyptic number.

10357117366344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10357117366344 is an abundant number, since it is smaller than the sum of its proper divisors (19234646537976).

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

10357117366344 is a wasteful number, since it uses less digits than its factorization.

10357117366344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61649508149 (or 61649508145 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 10357117366344 in words is "ten trillion, three hundred fifty-seven billion, one hundred seventeen million, three hundred sixty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 61649508133 123299016266 184948524399 246598032532 369897048798 431546556931 493196065064 739794097596 863093113862 1294639670793 1479588195192 1726186227724 2589279341586 3452372455448 5178558683172 10357117366344