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10918278324 = 22322933731033
BaseRepresentation
bin10100010101100011…
…11011010010110100
31001011220200000011200
422022301323102310
5134330034401244
65003224332500
7534364556142
oct121261732264
931156600150
1010918278324
1146a30a1118
122148614130
131050013725
147580ba592
1543d7ea669
hex28ac7b4b4

10918278324 has 72 divisors (see below), whose sum is σ = 28636313160. Its totient is φ = 3503388672.

The previous prime is 10918278299. The next prime is 10918278331. The reversal of 10918278324 is 42387281901.

It is a happy number.

10918278324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1444760100 + 9473518224 = 38010^2 + 97332^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10918278324.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336312 + ... + 367344.

Almost surely, 210918278324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10918278324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14318156580).

10918278324 is an abundant number, since it is smaller than the sum of its proper divisors (17718034836).

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

10918278324 is a wasteful number, since it uses less digits than its factorization.

10918278324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31409 (or 31404 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10918278324 in words is "ten billion, nine hundred eighteen million, two hundred seventy-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 337 348 522 674 1011 1044 1348 2022 3033 4044 6066 9773 12132 19546 29319 31033 39092 58638 62066 87957 93099 117276 124132 175914 186198 279297 351828 372396 558594 899957 1117188 1799914 2699871 3599828 5399742 8099613 10458121 10799484 16199226 20916242 31374363 32398452 41832484 62748726 94123089 125497452 188246178 303285509 376492356 606571018 909856527 1213142036 1819713054 2729569581 3639426108 5459139162 10918278324