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9014065641 = 34731271233
BaseRepresentation
bin10000110010100011…
…11011100111101001
3212021012112222110000
420121101323213221
5121430100100031
64050242413213
7436243202520
oct103121734751
925235488400
109014065641
113906228a29
1218b6961209
13b08666569
146172374b7
1537b5593e6
hex21947b9e9

9014065641 has 120 divisors (see below), whose sum is σ = 16194701952. Its totient is φ = 4893436800.

The previous prime is 9014065609. The next prime is 9014065661. The reversal of 9014065641 is 1465604109.

9014065641 is a `hidden beast` number, since 9 + 0 + 1 + 4 + 0 + 6 + 5 + 641 = 666.

It is not a de Polignac number, because 9014065641 - 25 = 9014065609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9014065596 and 9014065605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9014065661) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38686861 + ... + 38687093.

Almost surely, 29014065641 is an apocalyptic number.

It is an amenable number.

9014065641 is a deficient number, since it is larger than the sum of its proper divisors (7180636311).

9014065641 is a wasteful number, since it uses less digits than its factorization.

9014065641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9014065641 is about 94942.4333003952. The cubic root of 9014065641 is about 2081.1668780048.

The spelling of 9014065641 in words is "nine billion, fourteen million, sixty-five thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 31 63 71 81 93 189 213 217 233 279 497 567 639 651 699 837 961 1491 1631 1917 1953 2097 2201 2511 2883 4473 4893 5751 5859 6291 6603 6727 7223 8649 13419 14679 15407 16543 17577 18873 19809 20181 21669 25947 40257 44037 46221 49629 50561 59427 60543 65007 68231 77841 115801 132111 138663 148887 151683 178281 181629 195021 204693 223913 347403 415989 446661 455049 477617 512833 544887 585063 614079 671739 1042209 1247967 1339983 1365147 1432851 1538499 1567391 1842237 2015217 3126627 3589831 4095441 4298553 4615497 4702173 5526711 6045651 9379881 10769493 12895659 13846491 14106519 15897823 18136953 32308479 38686977 41539473 42319557 47693469 96925437 111284761 126958671 143080407 290776311 333854283 429241221 1001562849 1287723663 3004688547 9014065641