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11152161270 = 2335277149113
BaseRepresentation
bin10100110001011100…
…00111100111110110
31001210012202111021000
422120232013213312
5140314423130040
65042341304130
7543234543465
oct123056074766
931705674230
1011152161270
114803116908
1221b2a05046
1310896021c3
1477b19c9dc
154540e9130
hex298b879f6

11152161270 has 64 divisors (see below), whose sum is σ = 29846658240. Its totient is φ = 2963153664.

The previous prime is 11152161263. The next prime is 11152161281. The reversal of 11152161270 is 7216125111.

11152161270 is a `hidden beast` number, since 1 + 11 + 521 + 6 + 127 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234 + ... + 149346.

It is an arithmetic number, because the mean of its divisors is an integer number (466354035).

Almost surely, 211152161270 is an apocalyptic number.

11152161270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11152161270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923329120).

11152161270 is an abundant number, since it is smaller than the sum of its proper divisors (18694496970).

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

11152161270 is a wasteful number, since it uses less digits than its factorization.

11152161270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149406 (or 149400 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

Adding to 11152161270 its reverse (7216125111), we get a palindrome (18368286381).

The spelling of 11152161270 in words is "eleven billion, one hundred fifty-two million, one hundred sixty-one thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 277 554 831 1385 1662 2493 2770 4155 4986 7479 8310 12465 14958 24930 37395 74790 149113 298226 447339 745565 894678 1342017 1491130 2236695 2684034 4026051 4473390 6710085 8052102 13420170 20130255 40260510 41304301 82608602 123912903 206521505 247825806 371738709 413043010 619564515 743477418 1115216127 1239129030 1858693545 2230432254 3717387090 5576080635 11152161270