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15012432012 = 223171393371571
BaseRepresentation
bin11011111101100111…
…11000100010001100
31102202020112120012110
431332303320202030
5221221140311022
610521400304020
71041010365234
oct157663704214
942666476173
1015012432012
116404143406
122aab772010
1315532ac886
14a25b3ccc4
155cce6d00c
hex37ecf888c

15012432012 has 96 divisors (see below), whose sum is σ = 37491068160. Its totient is φ = 4659056640.

The previous prime is 15012431971. The next prime is 15012432013. The reversal of 15012432012 is 21023421051.

It is a super-2 number, since 2×150124320122 (a number of 21 digits) contains 22 as substring.

15012432012 is a modest number, since divided by 432012 gives 15012 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 15012432012.

It is not an unprimeable number, because it can be changed into a prime (15012432013) by changing a digit.

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, 9555187 + ... + 9556757.

It is an arithmetic number, because the mean of its divisors is an integer number (390531960).

Almost surely, 215012432012 is an apocalyptic number.

15012432012 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 15012432012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745534080).

15012432012 is an abundant number, since it is smaller than the sum of its proper divisors (22478636148).

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

15012432012 is a wasteful number, since it uses less digits than its factorization.

15012432012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 15012432012 its reverse (21023421051), we get a palindrome (36035853063).

The spelling of 15012432012 in words is "fifteen billion, twelve million, four hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 139 204 278 337 417 556 674 834 1011 1348 1571 1668 2022 2363 3142 4044 4713 4726 5729 6284 7089 9426 9452 11458 14178 17187 18852 22916 26707 28356 34374 46843 53414 68748 80121 93686 106828 140529 160242 187372 218369 281058 320484 436738 529427 562116 655107 796331 873476 1058854 1310214 1588281 1592662 2117708 2388993 2620428 3176562 3185324 3712273 4777986 6353124 7424546 9000259 9555972 11136819 14849092 18000518 22273638 27000777 36001036 44547276 54001554 73590353 108003108 147180706 220771059 294361412 441542118 883084236 1251036001 2502072002 3753108003 5004144004 7506216006 15012432012