Search a number
-
+
10442312151656 = 23711127133478783
BaseRepresentation
bin1001011111110100101001…
…0011100111001001101000
31100222021102200120122010012
42113331022103213021220
52332041323402323111
634113044301311052
72125301141531120
oct227751223471150
940867380518105
1010442312151656
113366617a851a0
121207959265488
135a9923887298
142815a69b1c80
151319662e548b
hex97f4a4e7268

10442312151656 has 64 divisors (see below), whose sum is σ = 24602809466880. Its totient is φ = 4036398367680.

The previous prime is 10442312151629. The next prime is 10442312151671. The reversal of 10442312151656 is 65615121324401.

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 15 ways as a sum of consecutive naturals, for example, 66661160 + ... + 66817623.

It is an arithmetic number, because the mean of its divisors is an integer number (384418897920).

Almost surely, 210442312151656 is an apocalyptic number.

It is an amenable number.

10442312151656 is an abundant number, since it is smaller than the sum of its proper divisors (14160497315224).

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

10442312151656 is a wasteful number, since it uses less digits than its factorization.

10442312151656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133478934 (or 133478930 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 10442312151656 in words is "ten trillion, four hundred forty-two billion, three hundred twelve million, one hundred fifty-one thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 127 154 254 308 508 616 889 1016 1397 1778 2794 3556 5588 7112 9779 11176 19558 39116 78232 133478783 266957566 533915132 934351481 1067830264 1468266613 1868702962 2936533226 3737405924 5873066452 7474811848 10277866291 11746132904 16951805441 20555732582 33903610882 41111465164 67807221764 82222930328 118662638087 135614443528 186469859851 237325276174 372939719702 474650552348 745879439404 949301104696 1305289018957 1491758878808 2610578037914 5221156075828 10442312151656