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10237821144 = 233716008111
BaseRepresentation
bin10011000100011100…
…01100000011011000
3222102111021012101220
421202032030003120
5131431340234034
64411520012040
7511463021025
oct114216140330
928374235356
1010237821144
114383a8a611
121b98761020
13c72057645
146d198c54c
153edbd8749
hex26238c0d8

10237821144 has 32 divisors (see below), whose sum is σ = 25955043840. Its totient is φ = 3364541600.

The previous prime is 10237821137. The next prime is 10237821173. The reversal of 10237821144 is 44112873201.

It is a congruent number.

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, 3002352 + ... + 3005759.

It is an arithmetic number, because the mean of its divisors is an integer number (811095120).

Almost surely, 210237821144 is an apocalyptic number.

It is an amenable number.

10237821144 is an abundant number, since it is smaller than the sum of its proper divisors (15717222696).

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

10237821144 is a wasteful number, since it uses less digits than its factorization.

10237821144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008191 (or 6008187 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 10237821144 in words is "ten billion, two hundred thirty-seven million, eight hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 6008111 12016222 18024333 24032444 36048666 48064888 72097332 144194664 426575881 853151762 1279727643 1706303524 2559455286 3412607048 5118910572 10237821144