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6438237252864 = 28319223221943
BaseRepresentation
bin101110110110000010011…
…0110000010110100000000
3211210111012211020121220120
41131230010312002310000
51320441002214042424
621405404012140240
71233101343462414
oct135540466026400
924714184217816
106438237252864
1120624940a287a
1287b934767680
1337917a7a4941
141838803c2d44
15b271771ca79
hex5db04d82d00

6438237252864 has 108 divisors (see below), whose sum is σ = 18084413997216. Its totient is φ = 2033127465984.

The previous prime is 6438237252847. The next prime is 6438237252893. The reversal of 6438237252864 is 4682527328346.

It is a junction number, because it is equal to n+sod(n) for n = 6438237252798 and 6438237252807.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11333724 + ... + 11888219.

It is an arithmetic number, because the mean of its divisors is an integer number (167448277752).

Almost surely, 26438237252864 is an apocalyptic number.

6438237252864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6438237252864 is an abundant number, since it is smaller than the sum of its proper divisors (11646176744352).

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

6438237252864 is a wasteful number, since it uses less digits than its factorization.

6438237252864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23222000 (or 23221967 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 60.

The spelling of 6438237252864 in words is "six trillion, four hundred thirty-eight billion, two hundred thirty-seven million, two hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 608 722 768 912 1083 1216 1444 1824 2166 2432 2888 3648 4332 4864 5776 7296 8664 11552 14592 17328 23104 34656 46208 69312 92416 138624 277248 23221943 46443886 69665829 92887772 139331658 185775544 278663316 371551088 441216917 557326632 743102176 882433834 1114653264 1323650751 1486204352 1764867668 2229306528 2647301502 2972408704 3529735336 4458613056 5294603004 5944817408 7059470672 8383121423 8917226112 10589206008 14118941344 16766242846 17834452224 21178412016 25149364269 28237882688 33532485692 42356824032 50298728538 56475765376 67064971384 84713648064 100597457076 112951530752 134129942768 169427296128 201194914152 268259885536 338854592256 402389828304 536519771072 804779656608 1073039542144 1609559313216 2146079084288 3219118626432 6438237252864