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10020675888 = 243424132083
BaseRepresentation
bin10010101010100011…
…10110000100110000
3221212100200002010000
421111101312010300
5131010243112023
64334201510000
7503215224336
oct112521660460
927770602100
1010020675888
114282457123
121b37aa2300
13c39079422
146b0bc5b56
153d9ae4243
hex255476130

10020675888 has 100 divisors (see below), whose sum is σ = 29123994328. Its totient is φ = 3326261760.

The previous prime is 10020675881. The next prime is 10020675893. The reversal of 10020675888 is 88857602001.

10020675888 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 67 + 588 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (10020675881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 296295 + ... + 328377.

Almost surely, 210020675888 is an apocalyptic number.

10020675888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020675888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561997164).

10020675888 is an abundant number, since it is smaller than the sum of its proper divisors (19103318440).

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

10020675888 is a wasteful number, since it uses less digits than its factorization.

10020675888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32344 (or 32329 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10020675888 in words is "ten billion, twenty million, six hundred seventy-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 241 324 432 482 648 723 964 1296 1446 1928 2169 2892 3856 4338 5784 6507 8676 11568 13014 17352 19521 26028 32083 34704 39042 52056 64166 78084 96249 104112 128332 156168 192498 256664 288747 312336 384996 513328 577494 769992 866241 1154988 1539984 1732482 2309976 2598723 3464964 4619952 5197446 6929928 7732003 10394892 13859856 15464006 20789784 23196009 30928012 41579568 46392018 61856024 69588027 92784036 123712048 139176054 185568072 208764081 278352108 371136144 417528162 556704216 626292243 835056324 1113408432 1252584486 1670112648 2505168972 3340225296 5010337944 10020675888