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10993522384 = 2413151571613
BaseRepresentation
bin10100011110100001…
…11101011011010000
31001101011020210121201
422033100331123100
5140003320204014
65014513200544
7536300253445
oct121720753320
931334223551
1010993522384
114731614099
122169860154
13106279a140
147640a59cc
1544520ee74
hex28f43d6d0

10993522384 has 80 divisors (see below), whose sum is σ = 23168489344. Its totient is φ = 5023296000.

The previous prime is 10993522363. The next prime is 10993522409. The reversal of 10993522384 is 48322539901.

10993522384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 17933662 + ... + 17934274.

Almost surely, 210993522384 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 10993522384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11584244672).

10993522384 is an abundant number, since it is smaller than the sum of its proper divisors (12174966960).

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

10993522384 is a wasteful number, since it uses less digits than its factorization.

10993522384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 10993522384 in words is "ten billion, nine hundred ninety-three million, five hundred twenty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 104 151 208 302 571 604 613 1142 1208 1226 1963 2284 2416 2452 3926 4568 4904 7423 7852 7969 9136 9808 14846 15704 15938 29692 31408 31876 59384 63752 86221 92563 118768 127504 172442 185126 344884 350023 370252 689768 700046 740504 1120873 1203319 1379536 1400092 1481008 2241746 2406638 2800184 4483492 4550299 4813276 5600368 8966984 9100598 9626552 17933968 18201196 19253104 36402392 52853473 72804784 105706946 211413892 422827784 687095149 845655568 1374190298 2748380596 5496761192 10993522384