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11742784740 = 2232565237693
BaseRepresentation
bin10101110111110110…
…01010110011100100
31010022101010021100100
422323323022303210
5143022123102430
65221120344100
7563666011011
oct127373126344
933271107310
1011742784740
114a8654aa85
122338775030
131151a96c4b
147d57c4708
1548adb3960
hex2bbecace4

11742784740 has 36 divisors (see below), whose sum is σ = 35619780924. Its totient is φ = 3131409216.

The previous prime is 11742784723. The next prime is 11742784741. The reversal of 11742784740 is 4748724711.

11742784740 is a `hidden beast` number, since 1 + 174 + 2 + 7 + 8 + 474 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8631153216 + 3111631524 = 92904^2 + 55782^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11742784741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32618667 + ... + 32619026.

It is an arithmetic number, because the mean of its divisors is an integer number (989438359).

Almost surely, 211742784740 is an apocalyptic number.

11742784740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11742784740 is an abundant number, since it is smaller than the sum of its proper divisors (23876996184).

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

11742784740 is a wasteful number, since it uses less digits than its factorization.

11742784740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65237708 (or 65237703 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 11742784740 in words is "eleven billion, seven hundred forty-two million, seven hundred eighty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 65237693 130475386 195713079 260950772 326188465 391426158 587139237 652376930 782852316 978565395 1174278474 1304753860 1957130790 2348556948 2935696185 3914261580 5871392370 11742784740