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11487119328 = 25353314463
BaseRepresentation
bin10101011001010111…
…11000011111100000
31002122120001010100000
422230223320133200
5142011200304303
65135504500000
7554442621546
oct125453703740
932576033300
1011487119328
1149651a7853
12228701a600
131110b1c939
147ad871d96
15473710da3
hex2acaf87e0

11487119328 has 144 divisors (see below), whose sum is σ = 33986324736. Its totient is φ = 3816616320.

The previous prime is 11487119321. The next prime is 11487119339. The reversal of 11487119328 is 82391178411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×114871193282 (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 (11487119321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2571625 + ... + 2576087.

It is an arithmetic number, because the mean of its divisors is an integer number (236016144).

Almost surely, 211487119328 is an apocalyptic number.

11487119328 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 11487119328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16993162368).

11487119328 is an abundant number, since it is smaller than the sum of its proper divisors (22499205408).

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

11487119328 is an equidigital number, since it uses as much as digits as its factorization.

11487119328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4799 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The spelling of 11487119328 in words is "eleven billion, four hundred eighty-seven million, one hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 331 432 486 648 662 864 972 993 1296 1324 1944 1986 2592 2648 2979 3888 3972 4463 5296 5958 7776 7944 8926 8937 10592 11916 13389 15888 17852 17874 23832 26778 26811 31776 35704 35748 40167 47664 53556 53622 71408 71496 80334 80433 95328 107112 107244 120501 142816 142992 160668 160866 214224 214488 241002 285984 321336 321732 361503 428448 428976 482004 642672 643464 723006 857952 964008 1084509 1285344 1286928 1446012 1477253 1928016 2169018 2573856 2892024 2954506 3856032 4338036 4431759 5784048 5909012 8676072 8863518 11568096 11818024 13295277 17352144 17727036 23636048 26590554 34704288 35454072 39885831 47272096 53181108 70908144 79771662 106362216 119657493 141816288 159543324 212724432 239314986 319086648 358972479 425448864 478629972 638173296 717944958 957259944 1276346592 1435889916 1914519888 2871779832 3829039776 5743559664 11487119328