Search a number
-
+
11336769120 = 253523618269
BaseRepresentation
bin10101000111011100…
…10101111001100000
31002021002010112121210
422203232111321200
5141204203102440
65112534150120
7550635643005
oct124356257140
932232115553
1011336769120
114898346486
1222447b2340
1310b892a511
147978d58ac
15465412a80
hex2a3b95e60

11336769120 has 48 divisors (see below), whose sum is σ = 35710824240. Its totient is φ = 3023138304.

The previous prime is 11336769113. The next prime is 11336769127. The reversal of 11336769120 is 2196763311.

11336769120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11336769113) and next prime (11336769127).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11336769127) 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 7 ways as a sum of consecutive naturals, for example, 11808655 + ... + 11809614.

It is an arithmetic number, because the mean of its divisors is an integer number (743975505).

Almost surely, 211336769120 is an apocalyptic number.

11336769120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11336769120 is an abundant number, since it is smaller than the sum of its proper divisors (24374055120).

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

11336769120 is a wasteful number, since it uses less digits than its factorization.

11336769120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23618287 (or 23618279 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 11336769120 in words is "eleven billion, three hundred thirty-six million, seven hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 23618269 47236538 70854807 94473076 118091345 141709614 188946152 236182690 283419228 354274035 377892304 472365380 566838456 708548070 755784608 944730760 1133676912 1417096140 1889461520 2267353824 2834192280 3778923040 5668384560 11336769120