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10481062912 = 21053313617
BaseRepresentation
bin10011100001011100…
…00101010000000000
31000001102222011101021
421300232011100000
5132431123003122
64452005315224
7520505364505
oct116056052000
930042864337
1010481062912
114499317771
122046105b14
13cb0571b98
14715dc94ac
154152351c7
hex270b85400

10481062912 has 88 divisors (see below), whose sum is σ = 21450119976. Its totient is φ = 5116919808.

The previous prime is 10481062903. The next prime is 10481062919. The reversal of 10481062912 is 21926018401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 242861056 + 10238201856 = 15584^2 + 101184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10481062919) 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 7 ways as a sum of consecutive naturals, for example, 16986828 + ... + 16987444.

Almost surely, 210481062912 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 10481062912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725059988).

10481062912 is an abundant number, since it is smaller than the sum of its proper divisors (10969057064).

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

10481062912 is an equidigital number, since it uses as much as digits as its factorization.

10481062912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 10481062912 in words is "ten billion, four hundred eighty-one million, sixty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 313 424 512 617 626 848 1024 1234 1252 1696 2468 2504 3392 4936 5008 6784 9872 10016 13568 16589 19744 20032 27136 32701 33178 39488 40064 54272 65402 66356 78976 80128 130804 132712 157952 160256 193121 261608 265424 315904 320512 386242 523216 530848 631808 772484 1046432 1061696 1544968 2092864 2123392 3089936 4185728 4246784 6179872 8371456 8493568 10235413 12359744 16742912 16987136 20470826 24719488 33485824 40941652 49438976 81883304 98877952 163766608 197755904 327533216 655066432 1310132864 2620265728 5240531456 10481062912