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642282631476 = 2234173172110391
BaseRepresentation
bin10010101100010110000…
…01110011000100110100
32021101211210002021201020
421112023001303010310
541010343323201401
61211021025501140
764255235201043
oct11261301630464
92241753067636
10642282631476
1122843288a432
12a458b1a17b0
134874a8b3485
142312da7c55a
1511a91e44d36
hex958b073134

642282631476 has 96 divisors (see below), whose sum is σ = 1557296568576. Its totient is φ = 205871616000.

The previous prime is 642282631447. The next prime is 642282631477. The reversal of 642282631476 is 674136282246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642282631477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61806241 + ... + 61816631.

It is an arithmetic number, because the mean of its divisors is an integer number (16221839256).

Almost surely, 2642282631476 is an apocalyptic number.

It is an amenable number.

642282631476 is an abundant number, since it is smaller than the sum of its proper divisors (915013937100).

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

642282631476 is a wasteful number, since it uses less digits than its factorization.

642282631476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233 (or 12231 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 642282631476 in words is "six hundred forty-two billion, two hundred eighty-two million, six hundred thirty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 41 73 82 123 146 164 219 246 292 438 492 876 1721 2993 3442 5163 5986 6884 8979 10326 10391 11972 17958 20652 20782 31173 35916 41564 62346 70561 124692 125633 141122 211683 251266 282244 376899 423366 426031 502532 753798 758543 846732 852062 1278093 1507596 1517086 1704124 2275629 2556186 3034172 4551258 5112372 5150953 9102516 10301906 15452859 17882911 20603812 30905718 31100263 35765822 53648733 61811436 62200526 71531644 93300789 107297466 124401052 186601578 214594932 373203156 733199351 1305452503 1466398702 2199598053 2610905006 2932797404 3916357509 4399196106 5221810012 7832715018 8798392212 15665430036 53523552623 107047105246 160570657869 214094210492 321141315738 642282631476