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3264632042064 = 2431923317490967
BaseRepresentation
bin101111100000011011001…
…110111011001001010000
3102120002120211010212212020
4233200123032323021100
5411441431300321224
610535430134331440
7454601424333441
oct57403316731120
912502524125766
103264632042064
111049582751778
1244885a7b9b80
131a8b13134b43
14b401ab092c8
1559dc1ddcc79
hex2f81b3bb250

3264632042064 has 160 divisors (see below), whose sum is σ = 9292728084480. Its totient is φ = 983000342016.

The previous prime is 3264632042029. The next prime is 3264632042081. The reversal of 3264632042064 is 4602402364623.

3264632042064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6403909 + ... + 6894875.

It is an arithmetic number, because the mean of its divisors is an integer number (58079550528).

Almost surely, 23264632042064 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 3264632042064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646364042240).

3264632042064 is an abundant number, since it is smaller than the sum of its proper divisors (6028096042416).

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

3264632042064 is a wasteful number, since it uses less digits than its factorization.

3264632042064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491337 (or 491331 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 42.

The spelling of 3264632042064 in words is "three trillion, two hundred sixty-four billion, six hundred thirty-two million, forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 317 368 437 456 552 634 874 912 951 1104 1268 1311 1748 1902 2536 2622 3496 3804 5072 5244 6023 6992 7291 7608 10488 12046 14582 15216 18069 20976 21873 24092 29164 36138 43746 48184 58328 72276 87492 96368 116656 138529 144552 174984 277058 289104 349968 415587 490967 554116 831174 981934 1108232 1472901 1662348 1963868 2216464 2945802 3324696 3927736 5891604 6649392 7855472 9328373 11292241 11783208 18656746 22584482 23566416 27985119 33876723 37313492 45168964 55970238 67753446 74626984 90337928 111940476 135506892 149253968 155636539 180675856 214552579 223880952 271013784 311273078 429105158 447761904 466909617 542027568 622546156 643657737 858210316 933819234 1245092312 1287315474 1716420632 1867638468 2490184624 2574630948 2957094241 3432841264 3579640397 3735276936 5149261896 5914188482 7159280794 7470553872 8871282723 10298523792 10738921191 11828376964 14318561588 17742565446 21477842382 23656753928 28637123176 35485130892 42955684764 47313507856 57274246352 68013167543 70970261784 85911369528 136026335086 141940523568 171822739056 204039502629 272052670172 408079005258 544105340344 816158010516 1088210680688 1632316021032 3264632042064