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11330818488 = 2334112144511
BaseRepresentation
bin10101000110101111…
…01001000110111000
31002020122221012220000
422203113221012320
5141201142142423
65112202433000
7550534240143
oct124327510670
932218835800
1011330818488
114894a51700
122242802760
1310b7625b32
14796bc705a
15464b39843
hex2a35e91b8

11330818488 has 120 divisors (see below), whose sum is σ = 34884474240. Its totient is φ = 3433557600.

The previous prime is 11330818481. The next prime is 11330818517. The reversal of 11330818488 is 88481803311.

It is a happy number.

11330818488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113308184882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330818481) 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 29 ways as a sum of consecutive naturals, for example, 6153 + ... + 150663.

It is an arithmetic number, because the mean of its divisors is an integer number (290703952).

Almost surely, 211330818488 is an apocalyptic number.

11330818488 is a gapful number since it is divisible by the number (18) 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 11330818488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442237120).

11330818488 is an abundant number, since it is smaller than the sum of its proper divisors (23553655752).

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

11330818488 is a wasteful number, since it uses less digits than its factorization.

11330818488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144551 (or 144527 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 11330818488 in words is "eleven billion, three hundred thirty million, eight hundred eighteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 484 594 648 726 792 891 968 1089 1188 1452 1782 2178 2376 2904 3267 3564 4356 6534 7128 8712 9801 13068 19602 26136 39204 78408 144511 289022 433533 578044 867066 1156088 1300599 1589621 1734132 2601198 3179242 3468264 3901797 4768863 5202396 6358484 7803594 9537726 10404792 11705391 12716968 14306589 15607188 17485831 19075452 23410782 28613178 31214376 34971662 38150904 42919767 46821564 52457493 57226356 69943324 85839534 93643128 104914986 114452712 128759301 139886648 157372479 171679068 209829972 257518602 314744958 343358136 419659944 472117437 515037204 629489916 944234874 1030074408 1258979832 1416352311 1888469748 2832704622 3776939496 5665409244 11330818488