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12040261464 = 23371137176089
BaseRepresentation
bin10110011011010011…
…11100111101011000
31011002002212122200210
423031221330331120
5144124301331324
65310424331120
7604240351050
oct131551747530
934062778623
1012040261464
115119460710
122400313aa0
13119b5c038a
148230dc560
154a7074d29
hex2cda7cf58

12040261464 has 128 divisors (see below), whose sum is σ = 38542579200. Its totient is φ = 3042800640.

The previous prime is 12040261459. The next prime is 12040261489. The reversal of 12040261464 is 46416204021.

It is a happy number.

It is a super-2 number, since 2×120402614642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19669 + ... + 156420.

It is an arithmetic number, because the mean of its divisors is an integer number (301113900).

Almost surely, 212040261464 is an apocalyptic number.

12040261464 is a gapful number since it is divisible by the number (14) 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 12040261464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19271289600).

12040261464 is an abundant number, since it is smaller than the sum of its proper divisors (26502317736).

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

12040261464 is a wasteful number, since it uses less digits than its factorization.

12040261464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176153 (or 176149 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 12040261464 its reverse (46416204021), we get a palindrome (58456465485).

The spelling of 12040261464 in words is "twelve billion, forty million, two hundred sixty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 37 42 44 56 66 74 77 84 88 111 132 148 154 168 222 231 259 264 296 308 407 444 462 518 616 777 814 888 924 1036 1221 1554 1628 1848 2072 2442 2849 3108 3256 4884 5698 6216 8547 9768 11396 17094 22792 34188 68376 176089 352178 528267 704356 1056534 1232623 1408712 1936979 2113068 2465246 3697869 3873958 4226136 4930492 5810937 6515293 7395738 7747916 9860984 11621874 13030586 13558853 14791476 15495832 19545879 23243748 26061172 27117706 29582952 39091758 40676559 45607051 46487496 52122344 54235412 71668223 78183516 81353118 91214102 108470824 136821153 143336446 156367032 162706236 182428204 215004669 273642306 286672892 325412472 364856408 430009338 501677561 547284612 573345784 860018676 1003355122 1094569224 1505032683 1720037352 2006710244 3010065366 4013420488 6020130732 12040261464