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10442163456456 = 2331395503568807
BaseRepresentation
bin1001011111110100000101…
…1100011000100111001000
31100222021001022210010122120
42113331001130120213020
52332041022321101311
634113021430251240
72125264354614324
oct227750134304710
940867038703576
1010442163456456
1133665510542a6
1212079174b6b20
135a98cbb24264
14281590d46984
15131958222706
hex97f417189c8

10442163456456 has 64 divisors (see below), whose sum is σ = 26298041548800. Its totient is φ = 3455045955648.

The previous prime is 10442163456443. The next prime is 10442163456547. The reversal of 10442163456456 is 65465436124401.

It is a junction number, because it is equal to n+sod(n) for n = 10442163456399 and 10442163456408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18073605 + ... + 18642411.

It is an arithmetic number, because the mean of its divisors is an integer number (410906899200).

Almost surely, 210442163456456 is an apocalyptic number.

It is an amenable number.

10442163456456 is an abundant number, since it is smaller than the sum of its proper divisors (15855878092344).

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

10442163456456 is a wasteful number, since it uses less digits than its factorization.

10442163456456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574458 (or 574454 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 10442163456456 in words is "ten trillion, four hundred forty-two billion, one hundred sixty-three million, four hundred fifty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 139 278 417 556 834 1112 1668 3336 5503 11006 16509 22012 33018 44024 66036 132072 568807 764917 1137614 1529834 1706421 2275228 2294751 3059668 3412842 4550456 4589502 6119336 6825684 9179004 13651368 18358008 79064173 158128346 237192519 316256692 474385038 632513384 948770076 1897540152 3130144921 6260289842 9390434763 12520579684 18780869526 25041159368 37561739052 75123478104 435090144019 870180288038 1305270432057 1740360576076 2610540864114 3480721152152 5221081728228 10442163456456