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7040385864 = 2334109263379
BaseRepresentation
bin1101000111010001…
…11100001101001000
3200011122201122210000
412203220330031020
5103404314321424
63122335523000
7336316202211
oct64350741510
920148648700
107040385864
112a93129116
121445989460
138827a62c5
144ab070408
152b31453c9
hex1a3a3c348

7040385864 has 160 divisors (see below), whose sum is σ = 20028888000. Its totient is φ = 2310311808.

The previous prime is 7040385853. The next prime is 7040385881. The reversal of 7040385864 is 4685830407.

It is a super-2 number, since 2×70403858642 = 99134066228022052992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18576027 + ... + 18576405.

It is an arithmetic number, because the mean of its divisors is an integer number (125180550).

Almost surely, 27040385864 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 7040385864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10014444000).

7040385864 is an abundant number, since it is smaller than the sum of its proper divisors (12988502136).

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

7040385864 is a wasteful number, since it uses less digits than its factorization.

7040385864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 7040385864 is about 83907.0072401584. The cubic root of 7040385864 is about 1916.6029580269.

The spelling of 7040385864 in words is "seven billion, forty million, three hundred eighty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 263 324 327 379 436 526 648 654 758 789 872 981 1052 1137 1308 1516 1578 1962 2104 2274 2367 2616 2943 3032 3156 3411 3924 4548 4734 5886 6312 6822 7101 7848 8829 9096 9468 10233 11772 13644 14202 17658 18936 20466 21303 23544 27288 28404 28667 30699 35316 40932 41311 42606 56808 57334 61398 70632 81864 82622 85212 86001 99677 114668 122796 123933 165244 170424 172002 199354 229336 245592 247866 258003 299031 330488 344004 371799 398708 495732 516006 598062 688008 743598 774009 797416 897093 991464 1032012 1115397 1196124 1487196 1548018 1794186 2064024 2230794 2322027 2392248 2691279 2974392 3096036 3346191 3588372 4461588 4644054 5382558 6192072 6692382 7176744 8073837 8923176 9288108 10765116 10864793 13384764 16147674 18576216 21530232 21729586 26769528 32295348 32594379 43459172 64590696 65188758 86918344 97783137 130377516 195566274 260755032 293349411 391132548 586698822 782265096 880048233 1173397644 1760096466 2346795288 3520192932 7040385864