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12652004312464 = 24111773367157837
BaseRepresentation
bin1011100000011100011000…
…1110010000010110010000
31122210112000221012221201111
42320013012032100112100
53124242301100444324
642524130041143104
72444035314145606
oct270070616202620
948715027187644
1012652004312464
114038759663030
12150406278aa94
1370a104413cca
1431a508851876
1516e193598794
hexb81c6390590

12652004312464 has 160 divisors (see below), whose sum is σ = 28781044609536. Its totient is φ = 5323896668160.

The previous prime is 12652004312449. The next prime is 12652004312491. The reversal of 12652004312464 is 46421340025621.

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 31 ways as a sum of consecutive naturals, for example, 80079754 + ... + 80237590.

Almost surely, 212652004312464 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 12652004312464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14390522304768).

12652004312464 is an abundant number, since it is smaller than the sum of its proper divisors (16129040297072).

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

12652004312464 is a wasteful number, since it uses less digits than its factorization.

12652004312464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158313 (or 158307 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 12652004312464 in words is "twelve trillion, six hundred fifty-two billion, four million, three hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 73 88 136 146 176 187 272 292 367 374 584 734 748 803 1168 1241 1468 1496 1606 2482 2936 2992 3212 4037 4964 5872 6239 6424 8074 9928 12478 12848 13651 16148 19856 24956 26791 27302 32296 49912 53582 54604 64592 68629 99824 107164 109208 137258 157837 214328 218416 274516 294701 315674 428656 455447 549032 589402 631348 910894 1098064 1178804 1262696 1736207 1821788 2357608 2525392 2683229 3472414 3643576 4715216 5009917 5366458 6944828 7287152 10019834 10732916 11522101 13889656 20039668 21465832 23044202 27779312 29515519 40079336 42931664 46088404 57926179 59031038 80158672 92176808 115852358 118062076 126743111 184353616 195875717 231704716 236124152 253486222 391751434 463409432 472248304 506972444 637187969 783502868 926818864 984745043 1013944888 1274375938 1567005736 1969490086 2027889776 2154632887 2548751876 3134011472 3938980172 4228611067 4309265774 5097503752 7877960344 8457222134 8618531548 10195007504 10832195473 15755920688 16914444268 17237063096 21664390946 33828888536 34474126192 43328781892 46514721737 67657777072 71886388139 86657563784 93029443474 143772776278 173315127568 186058886948 287545552556 372117773896 575091105112 744235547792 790750269529 1150182210224 1581500539058 3163001078116 6326002156232 12652004312464