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10796438324 = 22721931412281
BaseRepresentation
bin10100000111000010…
…01001001100110100
31000212102101220010002
422003201021030310
5134102342011244
64543153050432
7531355132400
oct120341111464
930772356102
1010796438324
114640342a01
122113856a18
1310309c4159
14745c42100
15432c7ea4e
hex283849334

10796438324 has 144 divisors (see below), whose sum is σ = 24474723840. Its totient is φ = 4136832000.

The previous prime is 10796438297. The next prime is 10796438327. The reversal of 10796438324 is 42383469701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10796438327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4732064 + ... + 4734344.

It is an arithmetic number, because the mean of its divisors is an integer number (169963360).

Almost surely, 210796438324 is an apocalyptic number.

10796438324 is a gapful number since it is divisible by the number (14) 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 10796438324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12237361920).

10796438324 is an abundant number, since it is smaller than the sum of its proper divisors (13678285516).

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

10796438324 is a wasteful number, since it uses less digits than its factorization.

10796438324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 10796438324 in words is "ten billion, seven hundred ninety-six million, four hundred thirty-eight thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 31 38 41 49 62 76 82 98 124 133 164 196 217 266 287 434 532 574 589 779 868 931 1148 1178 1271 1519 1558 1862 2009 2281 2356 2542 3038 3116 3724 4018 4123 4562 5084 5453 6076 8036 8246 8897 9124 10906 15967 16492 17794 21812 24149 28861 31934 35588 38171 43339 48298 57722 62279 63868 70711 76342 86678 93521 96596 111769 115444 124558 141422 152684 169043 173356 187042 223538 249116 282844 303373 338086 374084 447076 494977 606746 654647 676172 989954 1183301 1213492 1309294 1343509 1776899 1979908 2123611 2366602 2618588 2687018 2899151 3464839 3553798 4247222 4582529 4733204 5374036 5798302 6929678 7107596 8494444 9165058 9404563 11596604 12438293 13859356 18330116 18809126 20294057 24876586 37618252 40588114 49753172 55083869 65831941 81176228 87068051 110167738 131663882 142058399 174136102 220335476 263327764 284116798 348272204 385587083 568233596 771174166 1542348332 2699109581 5398219162 10796438324