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10269486796816 = 24132616272
BaseRepresentation
bin1001010101110000110100…
…0111001101000000010000
31100100202100012011221210001
42111130031013031000100
52321223402104444231
633501423114215344
72106642312333622
oct225341507150020
940322305157701
1010269486796816
1132aa2a0632125
12119a366424554
13596540496400
1427708d9d4c12
1512c1ed902b61
hex9570d1cd010

10269486796816 has 45 divisors (see below), whose sum is σ = 21545763298461. Its totient is φ = 4739686226496.

The previous prime is 10269486796787. The next prime is 10269486796837. The reversal of 10269486796816 is 61869768496201.

The square root of 10269486796816 is 3204604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1519154851600 + 8750331945216 = 1232540^2 + 2958096^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 166608595 + ... + 166670221.

Almost surely, 210269486796816 is an apocalyptic number.

10269486796816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10269486796816 is the 3204604-th square number.

It is an amenable number.

10269486796816 is an abundant number, since it is smaller than the sum of its proper divisors (11276276501645).

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

10269486796816 is an frugal number, since it uses more digits than its factorization.

10269486796816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123288 (or 61642 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 73.

The spelling of 10269486796816 in words is "ten trillion, two hundred sixty-nine billion, four hundred eighty-six million, seven hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 61627 123254 246508 493016 801151 986032 1602302 3204604 6409208 10414963 12818416 20829926 41659852 83319704 166639408 3797887129 7595774258 15191548516 30383097032 49372532677 60766194064 98745065354 197490130708 394980261416 641842924801 789960522832 1283685849602 2567371699204 5134743398408 10269486796816