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10096418976 = 253715024433
BaseRepresentation
bin10010110011100101…
…10010000010100000
3222001122012020002120
421121302302002200
5131134140401401
64345505144240
7505125100560
oct113162620240
928048166076
1010096418976
114311190016
121b5932b080
13c4b979017
146baca0da0
153e15a6836
hex259cb20a0

10096418976 has 48 divisors (see below), whose sum is σ = 30289258944. Its totient is φ = 2884690944.

The previous prime is 10096418947. The next prime is 10096418999. The reversal of 10096418976 is 67981469001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×100964189762 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7511545 + ... + 7512888.

It is an arithmetic number, because the mean of its divisors is an integer number (631026228).

Almost surely, 210096418976 is an apocalyptic number.

10096418976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10096418976 is an abundant number, since it is smaller than the sum of its proper divisors (20192839968).

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

10096418976 is a wasteful number, since it uses less digits than its factorization.

10096418976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15024453 (or 15024445 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 10096418976 in words is "ten billion, ninety-six million, four hundred eighteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 15024433 30048866 45073299 60097732 90146598 105171031 120195464 180293196 210342062 240390928 315513093 360586392 420684124 480781856 631026186 721172784 841368248 1262052372 1442345568 1682736496 2524104744 3365472992 5048209488 10096418976