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10238833296 = 243349947497
BaseRepresentation
bin10011000100100100…
…00011001010010000
3222102120011121211000
421202102003022100
5131432120131141
64411553422000
7511504434636
oct114222031220
928376147730
1010238833296
114384610aaa
121b98b6a900
13c72320253
146d1b73356
153edd385b6
hex262483290

10238833296 has 80 divisors (see below), whose sum is σ = 29448760000. Its totient is φ = 3406033152.

The previous prime is 10238833291. The next prime is 10238833303. The reversal of 10238833296 is 69233883201.

10238833296 is a `hidden beast` number, since 10 + 238 + 83 + 329 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (10238833291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191820 + ... + 239316.

It is an arithmetic number, because the mean of its divisors is an integer number (368109500).

Almost surely, 210238833296 is an apocalyptic number.

10238833296 is a gapful number since it is divisible by the number (16) 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 10238833296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14724380000).

10238833296 is an abundant number, since it is smaller than the sum of its proper divisors (19209926704).

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

10238833296 is a wasteful number, since it uses less digits than its factorization.

10238833296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48013 (or 48001 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10238833296 in words is "ten billion, two hundred thirty-eight million, eight hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 499 998 1497 1996 2994 3992 4491 5988 7984 8982 11976 13473 17964 23952 26946 35928 47497 53892 71856 94994 107784 142491 189988 215568 284982 379976 427473 569964 759952 854946 1139928 1282419 1709892 2279856 2564838 3419784 5129676 6839568 10259352 20518704 23701003 47402006 71103009 94804012 142206018 189608024 213309027 284412036 379216048 426618054 568824072 639927081 853236108 1137648144 1279854162 1706472216 2559708324 3412944432 5119416648 10238833296