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4640118875064 = 2333471792553433
BaseRepresentation
bin100001110000101110010…
…1000110010001110111000
3121102120221212021202212000
41003201130220302032320
51102010430413000224
613511350255021000
7656144320446351
oct103413450621670
917376855252760
104640118875064
111529955156862
1262b35250a760
1327873b32a36a
14120823896d28
1580a77e920c9
hex4385ca323b8

4640118875064 has 128 divisors (see below), whose sum is σ = 13237001856000. Its totient is φ = 1505340087552.

The previous prime is 4640118875047. The next prime is 4640118875069. The reversal of 4640118875064 is 4605788110464.

4640118875064 is a `hidden beast` number, since 4 + 6 + 40 + 1 + 18 + 87 + 506 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4640118875064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640118875069) by changing a digit.

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, 540492 + ... + 3093924.

It is an arithmetic number, because the mean of its divisors is an integer number (103414077000).

Almost surely, 24640118875064 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 4640118875064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618500928000).

4640118875064 is an abundant number, since it is smaller than the sum of its proper divisors (8596882980936).

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

4640118875064 is a wasteful number, since it uses less digits than its factorization.

4640118875064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553674 (or 2553664 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4640118875064 in words is "four trillion, six hundred forty billion, one hundred eighteen million, eight hundred seventy-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 179 188 216 282 358 376 423 537 564 716 846 1074 1128 1269 1432 1611 1692 2148 2538 3222 3384 4296 4833 5076 6444 8413 9666 10152 12888 16826 19332 25239 33652 38664 50478 67304 75717 100956 151434 201912 227151 302868 454302 605736 908604 1817208 2553433 5106866 7660299 10213732 15320598 20427464 22980897 30641196 45961794 61282392 68942691 91923588 120011351 137885382 183847176 240022702 275770764 360034053 457064507 480045404 551541528 720068106 914129014 960090808 1080102159 1371193521 1440136212 1828258028 2160204318 2742387042 2880272424 3240306477 3656516056 4113580563 4320408636 5484774084 6480612954 8227161126 8640817272 10969548168 12340741689 12961225908 16454322252 21482031829 24681483378 25922451816 32908644504 42964063658 49362966756 64446095487 85928127316 98725933512 128892190974 171856254632 193338286461 257784381948 386676572922 515568763896 580014859383 773353145844 1160029718766 1546706291688 2320059437532 4640118875064