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207093208344 = 23311173159667
BaseRepresentation
bin1100000011011110110…
…1111001010100011000
3201210112200102000002120
43000313231321110120
511343111330131334
6235045354101240
720650651140501
oct3006755712430
9653480360076
10207093208344
117a911798660
123417711a820
13166b4a2b489
14a048181ba8
1555c1050949
hex3037b79518

207093208344 has 128 divisors (see below), whose sum is σ = 600096211200. Its totient is φ = 59063646720.

The previous prime is 207093208339. The next prime is 207093208367. The reversal of 207093208344 is 443802390702.

207093208344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2070932083442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 207093208296 and 207093208305.

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, 1217199 + ... + 1376865.

It is an arithmetic number, because the mean of its divisors is an integer number (4688251650).

Almost surely, 2207093208344 is an apocalyptic number.

207093208344 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 207093208344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300048105600).

207093208344 is an abundant number, since it is smaller than the sum of its proper divisors (393003002856).

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

207093208344 is a wasteful number, since it uses less digits than its factorization.

207093208344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159738 (or 159700 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 207093208344 in words is "two hundred seven billion, ninety-three million, two hundred eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 289 374 408 561 578 748 867 1122 1156 1496 1734 2244 2312 3179 3468 4488 4913 6358 6936 9537 9826 12716 14739 19074 19652 25432 29478 38148 39304 54043 58956 76296 108086 117912 159667 162129 216172 319334 324258 432344 479001 638668 648516 958002 1277336 1297032 1756337 1916004 2714339 3512674 3832008 5269011 5428678 7025348 8143017 10538022 10857356 14050696 16286034 21076044 21714712 29857729 32572068 42152088 46143763 59715458 65144136 89573187 92287526 119430916 138431289 179146374 184575052 238861832 276862578 358292748 369150104 507581393 553725156 716585496 784443971 1015162786 1107450312 1522744179 1568887942 2030325572 2353331913 3045488358 3137775884 4060651144 4706663826 6090976716 6275551768 8628883681 9413327652 12181953432 17257767362 18826655304 25886651043 34515534724 51773302086 69031069448 103546604172 207093208344