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11438640045 = 3357591931063
BaseRepresentation
bin10101010011100101…
…11100101110101101
31002112011211010021000
422221302330232231
5141411242440140
65131013430513
7553313556540
oct125162745655
932464733230
1011438640045
11493a8a5628
12227293b439
131103a77781
147a7252857
1546e336a30
hex2a9cbcbad

11438640045 has 128 divisors (see below), whose sum is σ = 23779123200. Its totient is φ = 5109018624.

The previous prime is 11438640007. The next prime is 11438640047. The reversal of 11438640045 is 54004683411.

11438640045 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 8 + 640 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 11438640045 - 26 = 11438639981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11438639991 and 11438640009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11438640047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10760184 + ... + 10761246.

It is an arithmetic number, because the mean of its divisors is an integer number (185774400).

Almost surely, 211438640045 is an apocalyptic number.

11438640045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11438640045 is an abundant number, since it is smaller than the sum of its proper divisors (12340483155).

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

11438640045 is a wasteful number, since it uses less digits than its factorization.

11438640045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11438640045 in words is "eleven billion, four hundred thirty-eight million, six hundred forty thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 59 63 105 135 177 189 193 295 315 413 531 579 885 945 965 1063 1239 1351 1593 1737 2065 2655 2895 3189 3717 4053 5211 5315 6195 6755 7441 7965 8685 9567 11151 11387 12159 15945 18585 20265 22323 26055 28701 34161 36477 37205 47835 55755 56935 60795 62717 66969 79709 102483 111615 143505 170805 182385 188151 200907 205159 239127 307449 313585 334845 398545 439019 512415 564453 615477 717381 940755 1004535 1025795 1195635 1317057 1436113 1537245 1693359 1846431 2152143 2195095 2822265 3077385 3586905 3951171 4308339 5539293 6585285 7180565 8466795 9232155 10760715 11853513 12104381 12925017 19755855 21541695 27696465 36313143 38775051 59267565 60521905 64625085 84730667 108939429 181565715 193875255 254192001 326818287 423653335 544697145 762576003 1270960005 1634091435 2287728009 3812880015 11438640045