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34989210036864 = 273369114651509
BaseRepresentation
bin1111111010010100011110…
…11011110110101010000000
311120212221021012120222002000
413331022033123312222000
514041230400232134424
6202225453213224000
710240613146105026
oct775121733665200
9146787235528060
1034989210036864
111016a927998606
123b11187792000
13166a611c68735
1488d6b5ad8716
1540a23a0e93c9
hex1fd28f6f6a80

34989210036864 has 128 divisors (see below), whose sum is σ = 103416218184000. Its totient is φ = 11646190679040.

The previous prime is 34989210036853. The next prime is 34989210036881. The reversal of 34989210036864 is 46863001298943.

34989210036864 is a `hidden beast` number, since 3 + 498 + 9 + 2 + 100 + 36 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4937659 + ... + 9713850.

Almost surely, 234989210036864 is an apocalyptic number.

It is an amenable number.

34989210036864 is an abundant number, since it is smaller than the sum of its proper divisors (68427008147136).

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

34989210036864 is a wasteful number, since it uses less digits than its factorization.

34989210036864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14652223 (or 14652205 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 34989210036864 in words is "thirty-four trillion, nine hundred eighty-nine billion, two hundred ten million, thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 691 864 1152 1382 1728 2073 2764 3456 4146 5528 6219 8292 11056 12438 16584 18657 22112 24876 33168 37314 44224 49752 66336 74628 88448 99504 132672 149256 199008 265344 298512 398016 597024 796032 1194048 2388096 14651509 29303018 43954527 58606036 87909054 117212072 131863581 175818108 234424144 263727162 351636216 395590743 468848288 527454324 703272432 791181486 937696576 1054908648 1406544864 1582362972 1875393152 2109817296 2813089728 3164725944 4219634592 5626179456 6329451888 8439269184 10124192719 12658903776 16878538368 20248385438 25317807552 30372578157 40496770876 50635615104 60745156314 80993541752 91117734471 121490312628 161987083504 182235468942 242980625256 273353203413 323974167008 364470937884 485961250512 546706406826 647948334016 728941875768 971922501024 1093412813652 1295896668032 1457883751536 1943845002048 2186825627304 2915767503072 3887690004096 4373651254608 5831535006144 8747302509216 11663070012288 17494605018432 34989210036864