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640254162105 = 33571311214783
BaseRepresentation
bin10010101000100100001…
…11110011010010111001
32021012121102011100212000
421110102013303102321
540442220031141410
61210043444411213
764154044404135
oct11242207632271
92235542140760
10640254162105
11227591868368
12a41039a6b09
13484b657ba3c
1422dba4d23c5
15119c3d0bdc0
hex95121f34b9

640254162105 has 64 divisors (see below), whose sum is σ = 1157977866240. Its totient is φ = 335575396800.

The previous prime is 640254162049. The next prime is 640254162113. The reversal of 640254162105 is 501261452046.

640254162105 is a `hidden beast` number, since 6 + 4 + 0 + 2 + 541 + 6 + 2 + 105 = 666.

It is not a de Polignac number, because 640254162105 - 221 = 640252064953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 640254162105.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2873544 + ... + 3088326.

It is an arithmetic number, because the mean of its divisors is an integer number (18093404160).

Almost surely, 2640254162105 is an apocalyptic number.

It is an amenable number.

640254162105 is a deficient number, since it is larger than the sum of its proper divisors (517723704135).

640254162105 is a wasteful number, since it uses less digits than its factorization.

640254162105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215179 (or 215173 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 6402541 and 62105, that added together give a palindrome (6464646).

The spelling of 640254162105 in words is "six hundred forty billion, two hundred fifty-four million, one hundred sixty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 71 135 213 311 355 639 933 1065 1555 1917 2799 3195 4665 8397 9585 13995 22081 41985 66243 110405 198729 214783 331215 596187 644349 993645 1073915 1933047 2980935 3221745 5799141 9665235 15249593 28995705 45748779 66797513 76247965 137246337 200392539 228743895 333987565 411739011 601177617 686231685 1001962695 1803532851 2058695055 3005888085 4742623423 9017664255 14227870269 23713117115 42683610807 71139351345 128050832421 213418054035 640254162105