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12471420032 = 271931433847
BaseRepresentation
bin10111001110101101…
…01100010010000000
31012012011011210001122
423213112230102000
5201020140420112
65421305451412
7621024215111
oct134726542200
935164153048
1012471420032
11531a878505
1225007a0b68
131239a210a6
14864494208
154ced40872
hex2e75ac480

12471420032 has 128 divisors (see below), whose sum is σ = 27631718400. Its totient is φ = 5582545920.

The previous prime is 12471420011. The next prime is 12471420067. The reversal of 12471420032 is 23002417421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×124714200322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12471419983 and 12471420010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3239933 + ... + 3243779.

It is an arithmetic number, because the mean of its divisors is an integer number (215872800).

Almost surely, 212471420032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12471420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815859200).

12471420032 is an abundant number, since it is smaller than the sum of its proper divisors (15160298368).

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

12471420032 is a wasteful number, since it uses less digits than its factorization.

12471420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

Adding to 12471420032 its reverse (23002417421), we get a palindrome (35473837453).

The spelling of 12471420032 in words is "twelve billion, four hundred seventy-one million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 19 31 32 38 43 62 64 76 86 124 128 152 172 248 304 344 496 589 608 688 817 992 1178 1216 1333 1376 1634 1984 2356 2432 2666 2752 3268 3847 3968 4712 5332 5504 6536 7694 9424 10664 13072 15388 18848 21328 25327 26144 30776 37696 42656 50654 52288 61552 73093 75392 85312 101308 104576 119257 123104 146186 165421 170624 202616 238514 246208 292372 330842 405232 477028 492416 584744 661684 810464 954056 1169488 1323368 1620928 1908112 2265883 2338976 2646736 3142999 3241856 3816224 4531766 4677952 5128051 5293472 6285998 7632448 9063532 9355904 10256102 10586944 12571996 15264896 18127064 20512204 21173888 25143992 36254128 41024408 50287984 72508256 82048816 97432969 100575968 145016512 164097632 194865938 201151936 290033024 328195264 389731876 402303872 656390528 779463752 1558927504 3117855008 6235710016 12471420032