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12505503144 = 23317192370139
BaseRepresentation
bin10111010010110001…
…01101010110101000
31012021112022101022010
423221120231112220
5201102402100034
65424524155520
7621620010561
oct135130552650
935245271263
1012505503144
115338037672
122510098ba0
131243ac5704
14868c07168
154d2d243e9
hex2e962d5a8

12505503144 has 128 divisors (see below), whose sum is σ = 36360576000. Its totient is φ = 3555154944.

The previous prime is 12505503139. The next prime is 12505503149. The reversal of 12505503144 is 44130550521.

12505503144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12505503139) and next prime (12505503149).

It is not an unprimeable number, because it can be changed into a prime (12505503149) 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 31 ways as a sum of consecutive naturals, for example, 143227 + ... + 213365.

It is an arithmetic number, because the mean of its divisors is an integer number (284067000).

Almost surely, 212505503144 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 12505503144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180288000).

12505503144 is an abundant number, since it is smaller than the sum of its proper divisors (23855072856).

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

12505503144 is a wasteful number, since it uses less digits than its factorization.

12505503144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70207 (or 70203 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 12505503144 in words is "twelve billion, five hundred five million, five hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 19 23 24 34 38 46 51 57 68 69 76 92 102 114 136 138 152 184 204 228 276 323 391 408 437 456 552 646 782 874 969 1173 1292 1311 1564 1748 1938 2346 2584 2622 3128 3496 3876 4692 5244 7429 7752 9384 10488 14858 22287 29716 44574 59432 70139 89148 140278 178296 210417 280556 420834 561112 841668 1192363 1332641 1613197 1683336 2384726 2665282 3226394 3577089 3997923 4769452 4839591 5330564 6452788 7154178 7995846 9538904 9679182 10661128 12905576 14308356 15991692 19358364 22654897 27424349 28616712 30650743 31983384 38716728 45309794 54848698 61301486 67964691 82273047 90619588 91952229 109697396 122602972 135929382 164546094 181239176 183904458 219394792 245205944 271858764 329092188 367808916 521062631 543717528 658184376 735617832 1042125262 1563187893 2084250524 3126375786 4168501048 6252751572 12505503144