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11384036416 = 26133372
BaseRepresentation
bin10101001101000101…
…01001110001000000
31002101101001222011101
422212202221301000
5141303303131131
65121343224144
7552051466354
oct124642516100
932341058141
1011384036416
114911aa0065
1222585a8054
1310c5669b2c
1479dcbb464
1546964cc61
hex2a68a9c40

11384036416 has 21 divisors (see below), whose sum is σ = 22591891189. Its totient is φ = 5691591424.

The previous prime is 11384036359. The next prime is 11384036423. The reversal of 11384036416 is 61463048311.

The square root of 11384036416 is 106696.

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., 3194510400 + 8189526016 = 56520^2 + 90496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 846900 + ... + 860236.

Almost surely, 211384036416 is an apocalyptic number.

11384036416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11384036416 is the 106696-th square number.

It is an amenable number.

11384036416 is a deficient number, since it is larger than the sum of its proper divisors (11207854773).

11384036416 is an frugal number, since it uses more digits than its factorization.

11384036416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26686 (or 13339 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 11384036416 in words is "eleven billion, three hundred eighty-four million, thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 13337 26674 53348 106696 213392 426784 853568 177875569 355751138 711502276 1423004552 2846009104 5692018208 11384036416