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641426510025 = 325274110198347
BaseRepresentation
bin10010101010101111111…
…11111101000011001001
32021022122010010210212100
421111113333331003021
541002120141310100
61210400044104013
764225101243120
oct11252777750311
92238563123770
10641426510025
112280335a7744
12a4390535009
1348642410b32
142308c0a4ab7
1511a41bd4400
hex9557ffd0c9

641426510025 has 144 divisors (see below), whose sum is σ = 1358344810368. Its totient is φ = 283236480000.

The previous prime is 641426509973. The next prime is 641426510027. The reversal of 641426510025 is 520015624146.

641426510025 is a `hidden beast` number, since 641 + 4 + 2 + 6 + 5 + 1 + 0 + 0 + 2 + 5 = 666.

It is not a de Polignac number, because 641426510025 - 29 = 641426509513 is a prime.

It is a super-2 number, since 2×6414265100252 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641426510027) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6472902 + ... + 6571248.

It is an arithmetic number, because the mean of its divisors is an integer number (9432950072).

Almost surely, 2641426510025 is an apocalyptic number.

It is an amenable number.

641426510025 is an abundant number, since it is smaller than the sum of its proper divisors (716918300343).

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

641426510025 is a wasteful number, since it uses less digits than its factorization.

641426510025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98512 (or 98504 counting only the distinct ones).

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

The spelling of 641426510025 in words is "six hundred forty-one billion, four hundred twenty-six million, five hundred ten thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 41 45 63 75 101 105 123 175 205 225 287 303 315 369 505 525 615 707 861 909 1025 1435 1515 1575 1845 2121 2525 2583 3075 3535 4141 4305 4545 6363 7175 7575 9225 10605 12423 12915 17675 20705 21525 22725 28987 31815 37269 53025 62115 64575 86961 98347 103525 144935 159075 186345 260883 295041 310575 434805 491735 688429 724675 885123 931725 1304415 1475205 2065287 2174025 2458675 3442145 4032227 4425615 6195861 6522075 7376025 9933047 10326435 12096681 17210725 20161135 22128075 28225589 29799141 30979305 36290043 49665235 51632175 60483405 69531329 84676767 89397423 100805675 141127945 148995705 154896525 181450215 208593987 248326175 254030301 302417025 347656645 407254927 423383835 446987115 625781961 705639725 744978525 907251075 1042969935 1221764781 1270151505 1738283225 2036274635 2116919175 2234935575 2850784489 3128909805 3665294343 5214849675 6108823905 6350757525 8552353467 10181373175 14253922445 15644549025 18326471715 25657060401 30544119525 42761767335 71269612225 91632358575 128285302005 213808836675 641426510025