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11383768032256 = 2101054372
BaseRepresentation
bin1010010110100111110101…
…1100110010010000000000
31111022021111100220122120201
42211221331130302100000
52443002424104013011
640113344132214544
72253310245504244
oct245517534622000
944267440818521
1011383768032256
113699913309734
12133a300a6a454
1364763bc0b349
142b4d97a62424
1514b1b803acc1
hexa5a7d732400

11383768032256 has 33 divisors (see below), whose sum is σ = 22756634935129. Its totient is φ = 5691830032384.

The previous prime is 11383768032253. The next prime is 11383768032281. The reversal of 11383768032256 is 65223086738311.

The square root of 11383768032256 is 3373984.

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., 433069286400 + 10950698745856 = 658080^2 + 3309184^2 .

It is a super-2 number, since 2×113837680322562 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11383768032197 and 11383768032206.

It is not an unprimeable number, because it can be changed into a prime (11383768032253) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 107914770 + ... + 108020206.

Almost surely, 211383768032256 is an apocalyptic number.

11383768032256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11383768032256 is the 3373984-th square number.

It is an amenable number.

11383768032256 is a deficient number, since it is larger than the sum of its proper divisors (11372866902873).

11383768032256 is an frugal number, since it uses more digits than its factorization.

11383768032256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210894 (or 105439 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 11383768032256 in words is "eleven trillion, three hundred eighty-three billion, seven hundred sixty-eight million, thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 105437 210874 421748 843496 1686992 3373984 6747968 13495936 26991872 53983744 107967488 11116960969 22233921938 44467843876 88935687752 177871375504 355742751008 711485502016 1422971004032 2845942008064 5691884016128 11383768032256