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11147669136 = 2432292669461
BaseRepresentation
bin10100110000111001…
…11110111010010000
31001202220022021012200
422120130332322100
5140312300403021
65042101123200
7543151424052
oct123034767220
931686267180
1011147669136
1148006288aa
1221b13b9500
1310886bb636
1477a74d8d2
15453a0d126
hex29873ee90

11147669136 has 60 divisors (see below), whose sum is σ = 32273795580. Its totient is φ = 3587754240.

The previous prime is 11147669119. The next prime is 11147669153. The reversal of 11147669136 is 63196674111.

11147669136 is a `hidden beast` number, since 111 + 476 + 69 + 1 + 3 + 6 = 666.

11147669136 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 (11147669119) and next prime (11147669153).

It can be written as a sum of positive squares in 2 ways, for example, as 5227290000 + 5920379136 = 72300^2 + 76944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11147669091 and 11147669100.

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 11 ways as a sum of consecutive naturals, for example, 1330555 + ... + 1338906.

It is an arithmetic number, because the mean of its divisors is an integer number (537896593).

Almost surely, 211147669136 is an apocalyptic number.

11147669136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11147669136 is an abundant number, since it is smaller than the sum of its proper divisors (21126126444).

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

11147669136 is a wasteful number, since it uses less digits than its factorization.

11147669136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669504 (or 2669495 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 11147669136 in words is "eleven billion, one hundred forty-seven million, six hundred sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 2669461 5338922 8008383 10677844 16016766 21355688 24025149 32033532 42711376 48050298 64067064 77414369 96100596 128134128 154828738 192201192 232243107 309657476 384402384 464486214 619314952 696729321 928972428 1238629904 1393458642 1857944856 2786917284 3715889712 5573834568 11147669136