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12007005006144 = 26364796656081
BaseRepresentation
bin1010111010111001100101…
…0001001010100101000000
31120111212011211020021201110
42232232121101022211000
53033210321240144034
641311535243403320
72346322530411651
oct256563121124500
946455154207643
1012007005006144
11390a162338685
12141b055823540
13691342a59335
142d71dc07d528
1515c4e2dc7de9
hexaeb9944a940

12007005006144 has 56 divisors (see below), whose sum is σ = 31817635697088. Its totient is φ = 3996148971520.

The previous prime is 12007005006133. The next prime is 12007005006169. The reversal of 12007005006144 is 44160050070021.

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 7 ways as a sum of consecutive naturals, for example, 48203817 + ... + 48452264.

Almost surely, 212007005006144 is an apocalyptic number.

It is an amenable number.

12007005006144 is an abundant number, since it is smaller than the sum of its proper divisors (19810630690944).

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

12007005006144 is an equidigital number, since it uses as much as digits as its factorization.

12007005006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96656743 (or 96656733 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 12007005006144 its reverse (44160050070021), we get a palindrome (56167055076165).

The spelling of 12007005006144 in words is "twelve trillion, seven billion, five million, six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 647 1294 1941 2588 3882 5176 7764 10352 15528 20704 31056 41408 62112 124224 96656081 193312162 289968243 386624324 579936486 773248648 1159872972 1546497296 2319745944 3092994592 4639491888 6185989184 9278983776 18557967552 62536484407 125072968814 187609453221 250145937628 375218906442 500291875256 750437812884 1000583750512 1500875625768 2001167501024 3001751251536 4002335002048 6003502503072 12007005006144