Search a number
-
+
11973936340 = 225665389989
BaseRepresentation
bin10110010011011001…
…11100010011010100
31010220111001222201201
423021230330103110
5144010311430330
65300055002244
7602503531252
oct131154742324
933814058651
1011973936340
115094a7a663
1223a2069384
13118a93a442
148183955d2
154a1322eca
hex2c9b3c4d4

11973936340 has 24 divisors (see below), whose sum is σ = 25149325320. Its totient is φ = 4788801408.

The previous prime is 11973936311. The next prime is 11973936409. The reversal of 11973936340 is 4363937911.

11973936340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 284866884 + 11689069456 = 16878^2 + 108116^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 88066 + ... + 178054.

It is an arithmetic number, because the mean of its divisors is an integer number (1047888555).

Almost surely, 211973936340 is an apocalyptic number.

11973936340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11973936340 is an abundant number, since it is smaller than the sum of its proper divisors (13175388980).

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

11973936340 is a wasteful number, since it uses less digits than its factorization.

11973936340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96651 (or 96649 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 46.

The spelling of 11973936340 in words is "eleven billion, nine hundred seventy-three million, nine hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 6653 13306 26612 33265 66530 89989 133060 179978 359956 449945 899890 1799780 598696817 1197393634 2394787268 2993484085 5986968170 11973936340