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11003474016 = 253238206507
BaseRepresentation
bin10100011111101101…
…11011000001100000
31001101211222101200200
422033312323001200
5140013342132031
65015510345200
7536450662113
oct121766730140
931354871620
1011003474016
1147371a0987
12217105b200
131064872992
1476553657a
154460288e6
hex28fdbb060

11003474016 has 36 divisors (see below), whose sum is σ = 31291130052. Its totient is φ = 3667824576.

The previous prime is 11003473939. The next prime is 11003474017. The reversal of 11003474016 is 61047430011.

It is a happy number.

11003474016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003474017) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 19102966 + ... + 19103541.

It is an arithmetic number, because the mean of its divisors is an integer number (869198057).

Almost surely, 211003474016 is an apocalyptic number.

11003474016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11003474016 is an abundant number, since it is smaller than the sum of its proper divisors (20287656036).

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

11003474016 is a wasteful number, since it uses less digits than its factorization.

11003474016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38206523 (or 38206512 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11003474016 in words is "eleven billion, three million, four hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38206507 76413014 114619521 152826028 229239042 305652056 343858563 458478084 611304112 687717126 916956168 1222608224 1375434252 1833912336 2750868504 3667824672 5501737008 11003474016