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12527650152 = 2332192835807
BaseRepresentation
bin10111010101011010…
…01100010101101000
31012100001222120021200
423222231030111220
5201124034301102
65431035004200
7622306161243
oct135255142550
935301876250
1012527650152
115349593a86
122517599660
13124857b154
1486bb3025a
154d4c4b51c
hex2eab4c568

12527650152 has 144 divisors (see below), whose sum is σ = 36246450240. Its totient is φ = 3907763136.

The previous prime is 12527650147. The next prime is 12527650159. The reversal of 12527650152 is 25105672521.

12527650152 is a `hidden beast` number, since 125 + 27 + 6 + 501 + 5 + 2 = 666.

12527650152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12527650159) 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 35 ways as a sum of consecutive naturals, for example, 2154433 + ... + 2160239.

It is an arithmetic number, because the mean of its divisors is an integer number (251711460).

Almost surely, 212527650152 is an apocalyptic number.

12527650152 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 12527650152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123225120).

12527650152 is an abundant number, since it is smaller than the sum of its proper divisors (23718800088).

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

12527650152 is a wasteful number, since it uses less digits than its factorization.

12527650152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 12527650152 in words is "twelve billion, five hundred twenty-seven million, six hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 83 114 152 166 171 228 249 332 342 361 456 498 664 684 722 747 996 1083 1368 1444 1494 1577 1992 2166 2888 2988 3154 3249 4332 4731 5807 5976 6308 6498 8664 9462 11614 12616 12996 14193 17421 18924 23228 25992 28386 29963 34842 37848 46456 52263 56772 59926 69684 89889 104526 110333 113544 119852 139368 179778 209052 220666 239704 269667 330999 359556 418104 441332 481981 539334 661998 719112 882664 963962 992997 1078668 1323996 1445943 1927924 1985994 2096327 2157336 2647992 2891886 3855848 3971988 4192654 4337829 5783772 6288981 7943976 8385308 8675658 9157639 11567544 12577962 16770616 17351316 18315278 18866943 25155924 27472917 34702632 36630556 37733886 50311848 54945834 73261112 75467772 82418751 109891668 150935544 164837502 173995141 219783336 329675004 347990282 521985423 659350008 695980564 1043970846 1391961128 1565956269 2087941692 3131912538 4175883384 6263825076 12527650152