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15002520138 = 235891512297
BaseRepresentation
bin11011111100011100…
…00100101001001010
31102201112212222200000
431332032010221022
5221211121121023
610520404023430
71040530213524
oct157616045112
942645788600
1015002520138
1163a9593481
122aa8391b76
13155121c168
14a246bca14
155cc161243
hex37e384a4a

15002520138 has 96 divisors (see below), whose sum is σ = 34328810880. Its totient is φ = 4909766400.

The previous prime is 15002520107. The next prime is 15002520167. The reversal of 15002520138 is 83102520051.

It is a happy number.

15002520138 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 2 + 520 + 138 = 666.

15002520138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150025201382 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6530206 + ... + 6532502.

It is an arithmetic number, because the mean of its divisors is an integer number (357591780).

Almost surely, 215002520138 is an apocalyptic number.

15002520138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15002520138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17164405440).

15002520138 is an abundant number, since it is smaller than the sum of its proper divisors (19326290742).

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

15002520138 is a wasteful number, since it uses less digits than its factorization.

15002520138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 15002520138 in words is "fifteen billion, two million, five hundred twenty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 89 151 162 178 243 267 302 453 486 534 801 906 1359 1602 2297 2403 2718 4077 4594 4806 6891 7209 8154 12231 13439 13782 14418 20673 21627 24462 26878 36693 40317 41346 43254 62019 73386 80634 120951 124038 186057 204433 241902 346847 362853 372114 408866 558171 613299 693694 725706 1040541 1088559 1116342 1226598 1839897 2081082 2177118 3121623 3265677 3679794 5519691 6243246 6531354 9364869 11039382 16559073 18729738 28094607 30869383 33118146 49677219 56189214 61738766 84283821 92608149 99354438 168567642 185216298 277824447 555648894 833473341 1666946682 2500420023 5000840046 7501260069 15002520138