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640253461005 = 32555897254537
BaseRepresentation
bin10010101000100100001…
…01001000001000001101
32021012121100211202010100
421110102011020020031
540442214341223010
61210043421401313
764154035424124
oct11242205101015
92235540752110
10640253461005
11227591429644
12a4103709239
13484b63948a2
1422dba38cabb
15119c3c1e2c0
hex951214820d

640253461005 has 24 divisors (see below), whose sum is σ = 1109796879672. Its totient is φ = 341461062144.

The previous prime is 640253460991. The next prime is 640253461007. The reversal of 640253461005 is 500164352046.

640253461005 is a `hidden beast` number, since 6 + 4 + 0 + 2 + 5 + 34 + 610 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 153634209444 + 486619251561 = 391962^2 + 697581^2 .

It is not a de Polignac number, because 640253461005 - 215 = 640253428237 is a prime.

It is a super-2 number, since 2×6402534610052 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640253461007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2388097 + ... + 2642633.

It is an arithmetic number, because the mean of its divisors is an integer number (46241536653).

Almost surely, 2640253461005 is an apocalyptic number.

It is an amenable number.

640253461005 is a deficient number, since it is larger than the sum of its proper divisors (469543418667).

640253461005 is a wasteful number, since it uses less digits than its factorization.

640253461005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310445 (or 310442 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 640253461005 in words is "six hundred forty billion, two hundred fifty-three million, four hundred sixty-one thousand, five".

Divisors: 1 3 5 9 15 45 55897 167691 254537 279485 503073 763611 838455 1272685 2290833 2515365 3818055 11454165 14227854689 42683564067 71139273445 128050692201 213417820335 640253461005