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2065105087344 = 2432137871401721
BaseRepresentation
bin11110000011010001110…
…110101110101101110000
321022102101201112222000100
4132003101312232231300
5232313313400243334
64220410212552400
7302125141421235
oct36032166565560
97272351488010
102065105087344
11726895a915a2
12294293622700
1311c97a8553b0
1471d4735b78c
1538ab89e3c99
hex1e0d1daeb70

2065105087344 has 120 divisors (see below), whose sum is σ = 6231910232912. Its totient is φ = 634609105920.

The previous prime is 2065105087313. The next prime is 2065105087349. The reversal of 2065105087344 is 4437805015602.

2065105087344 is a `hidden beast` number, since 2 + 0 + 6 + 510 + 50 + 87 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2065105087344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065105087349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772404 + ... + 2174124.

Almost surely, 22065105087344 is an apocalyptic number.

2065105087344 is a gapful number since it is divisible by the number (24) 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 2065105087344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115955116456).

2065105087344 is an abundant number, since it is smaller than the sum of its proper divisors (4166805145568).

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

2065105087344 is a wasteful number, since it uses less digits than its factorization.

2065105087344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402535 (or 1402526 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2065105087344 in words is "two trillion, sixty-five billion, one hundred five million, eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 787 936 1574 1872 2361 3148 4722 6296 7083 9444 10231 12592 14166 18888 20462 28332 30693 37776 40924 56664 61386 81848 92079 113328 122772 163696 184158 245544 368316 491088 736632 1401721 1473264 2803442 4205163 5606884 8410326 11213768 12615489 16820652 18222373 22427536 25230978 33641304 36444746 50461956 54667119 67282608 72889492 100923912 109334238 145778984 164001357 201847824 218668476 291557968 328002714 437336952 656005428 874673904 1103154427 1312010856 2206308854 2624021712 3309463281 4412617708 6618926562 8825235416 9928389843 13237853124 14341007551 17650470832 19856779686 26475706248 28682015102 39713559372 43023022653 52951412496 57364030204 79427118744 86046045306 114728060408 129069067959 158854237488 172092090612 229456120816 258138135918 344184181224 516276271836 688368362448 1032552543672 2065105087344