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11166769152 = 213327211281
BaseRepresentation
bin10100110011001011…
…10110000000000000
31001211020020122111200
422121211312000000
5140332143103102
65044022341200
7543502654200
oct123145660000
931736218450
1011166769152
114810393a40
1221b788a800
13108c648216
1477d0c2400
1545553251c
hex299976000

11166769152 has 504 divisors, whose sum is σ = 41081093352. Its totient is φ = 2890137600.

The previous prime is 11166769147. The next prime is 11166769153. The reversal of 11166769152 is 25196766111.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 11166769098 and 11166769107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166769153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39739252 + ... + 39739532.

Almost surely, 211166769152 is an apocalyptic number.

11166769152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11166769152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20540546676).

11166769152 is an abundant number, since it is smaller than the sum of its proper divisors (29914324200).

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

11166769152 is a wasteful number, since it uses less digits than its factorization.

11166769152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 304 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The spelling of 11166769152 in words is "eleven billion, one hundred sixty-six million, seven hundred sixty-nine thousand, one hundred fifty-two".