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11727987074740 = 225941623166157
BaseRepresentation
bin1010101010101010001010…
…0000001110011010110100
31112112011222120202210002001
42222222202200032122310
53014122404142342430
640535432441025044
72320214311212046
oct252524240163264
945464876683061
1011727987074740
1138118a1a57042
121394b67185184
13670c37c04841
142c78cd823a96
151551127c33ca
hexaaaa280e6b4

11727987074740 has 24 divisors (see below), whose sum is σ = 24654945875112. Its totient is φ = 4686209493120.

The previous prime is 11727987074711. The next prime is 11727987074777. The reversal of 11727987074740 is 4747078972711.

It can be written as a sum of positive squares in 4 ways, for example, as 1597503877776 + 10130483196964 = 1263924^2 + 3182842^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 311564259 + ... + 311601898.

It is an arithmetic number, because the mean of its divisors is an integer number (1027289411463).

Almost surely, 211727987074740 is an apocalyptic number.

11727987074740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11727987074740 is an abundant number, since it is smaller than the sum of its proper divisors (12926958800372).

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

11727987074740 is a wasteful number, since it uses less digits than its factorization.

11727987074740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623167107 (or 623167105 counting only the distinct ones).

The product of its (nonzero) digits is 38723328, while the sum is 64.

The spelling of 11727987074740 in words is "eleven trillion, seven hundred twenty-seven billion, nine hundred eighty-seven million, seventy-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 941 1882 3764 4705 9410 18820 623166157 1246332314 2492664628 3115830785 6231661570 12463323140 586399353737 1172798707474 2345597414948 2931996768685 5863993537370 11727987074740