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11313776016 = 2432531482413
BaseRepresentation
bin10101000100101101…
…01000010110010000
31002012110212101000100
422202112220112100
5141132311313031
65110353252400
7550236336504
oct124226502620
932173771010
1011313776016
114886371414
122238b64100
1310b3c3992a
1479482c304
154633bede6
hex2a25a8590

11313776016 has 60 divisors (see below), whose sum is σ = 32260293468. Its totient is φ = 3700100352.

The previous prime is 11313775843. The next prime is 11313776101. The reversal of 11313776016 is 61067731311.

It is a happy number.

11313776016 is a `hidden beast` number, since 1 + 13 + 1 + 37 + 7 + 601 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5154665616 + 6159110400 = 71796^2 + 78480^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 733575 + ... + 748838.

Almost surely, 211313776016 is an apocalyptic number.

11313776016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11313776016 is an abundant number, since it is smaller than the sum of its proper divisors (20946517452).

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

11313776016 is a wasteful number, since it uses less digits than its factorization.

11313776016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482480 (or 1482471 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 11313776016 in words is "eleven billion, three hundred thirteen million, seven hundred seventy-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 1482413 2964826 4447239 5929652 8894478 11859304 13341717 17788956 23718608 26683434 35577912 53366868 71155824 78567889 106733736 157135778 213467472 235703667 314271556 471407334 628543112 707111001 942814668 1257086224 1414222002 1885629336 2828444004 3771258672 5656888008 11313776016