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15415005012 = 223114110128201
BaseRepresentation
bin11100101101100111…
…00100111101010100
31110210022001101112120
432112303210331110
5223032220130022
611025341015540
71053666244401
oct162663447524
943708041476
1015415005012
1165a0406470
122ba25545b0
1315b8812354
14a633b32a8
1560348dd5c
hex396ce4f54

15415005012 has 96 divisors (see below), whose sum is σ = 40594635648. Its totient is φ = 4512000000.

The previous prime is 15415004999. The next prime is 15415005043. The reversal of 15415005012 is 21050051451.

It is a congruent number.

It is an unprimeable number.

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, 532512 + ... + 560712.

It is an arithmetic number, because the mean of its divisors is an integer number (422860788).

Almost surely, 215415005012 is an apocalyptic number.

15415005012 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 15415005012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20297317824).

15415005012 is an abundant number, since it is smaller than the sum of its proper divisors (25179630636).

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

15415005012 is a wasteful number, since it uses less digits than its factorization.

15415005012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28361 (or 28359 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

Adding to 15415005012 its reverse (21050051451), we get a palindrome (36465056463).

The spelling of 15415005012 in words is "fifteen billion, four hundred fifteen million, five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 101 123 132 164 202 246 303 404 451 492 606 902 1111 1212 1353 1804 2222 2706 3333 4141 4444 5412 6666 8282 12423 13332 16564 24846 28201 45551 49692 56402 84603 91102 112804 136653 169206 182204 273306 310211 338412 546612 620422 930633 1156241 1240844 1861266 2312482 2848301 3468723 3722532 4624964 5696602 6937446 8544903 11393204 12718651 13874892 17089806 25437302 31331311 34179612 38155953 50874604 62662622 76311906 93993933 116780341 125325244 152623812 187987866 233560682 350341023 375975732 467121364 700682046 1284583751 1401364092 2569167502 3853751253 5138335004 7707502506 15415005012