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640343134170 = 232529972529301
BaseRepresentation
bin10010101000101110110…
…11001100111111011010
32021012211121120121120200
421110113123030333122
540442410320243140
61210100343403030
764156204555665
oct11242733147732
92235747517520
10640343134170
112276280073a3
12a4129753476
13484cbb30b2c
1422dc82526dc
15119cba34030
hex95176ccfda

640343134170 has 96 divisors (see below), whose sum is σ = 1740058603920. Its totient is φ = 163170201600.

The previous prime is 640343134157. The next prime is 640343134181. The reversal of 640343134170 is 71431343046.

640343134170 is a `hidden beast` number, since 640 + 3 + 4 + 3 + 1 + 3 + 4 + 1 + 7 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 216038110401 + 424305023769 = 464799^2 + 651387^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011481 + ... + 1517820.

Almost surely, 2640343134170 is an apocalyptic number.

640343134170 is an abundant number, since it is smaller than the sum of its proper divisors (1099715469750).

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

640343134170 is a wasteful number, since it uses less digits than its factorization.

640343134170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529440 (or 2529437 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 640343134170 in words is "six hundred forty billion, three hundred forty-three million, one hundred thirty-four thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 97 145 174 194 261 290 291 435 485 522 582 870 873 970 1305 1455 1746 2610 2813 2910 4365 5626 8439 8730 14065 16878 25317 28130 42195 50634 84390 126585 253170 2529301 5058602 7587903 12646505 15175806 22763709 25293010 37939515 45527418 73349729 75879030 113818545 146699458 220049187 227637090 245342197 366748645 440098374 490684394 660147561 733497290 736026591 1100245935 1226710985 1320295122 1472053182 2200491870 2208079773 2453421970 3300737805 3680132955 4416159546 6601475610 7114923713 7360265910 11040398865 14229847426 21344771139 22080797730 35574618565 42689542278 64034313417 71149237130 106723855695 128068626834 213447711390 320171567085 640343134170