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10663233400 = 2352359148513
BaseRepresentation
bin10011110111001010…
…00000011101111000
31000112010202101022101
421323211000131320
5133314241432100
64522034033144
7525146663011
oct117345003570
930463671271
1010663233400
114582132096
1220971187b4
13100c225981
1473228a008
1542621b86a
hex27b940778

10663233400 has 48 divisors (see below), whose sum is σ = 24861243600. Its totient is φ = 4253383680.

The previous prime is 10663233367. The next prime is 10663233419. The reversal of 10663233400 is 433236601.

10663233400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106632334002 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2457 + ... + 146056.

It is an arithmetic number, because the mean of its divisors is an integer number (517942575).

Almost surely, 210663233400 is an apocalyptic number.

10663233400 is a gapful number since it is divisible by the number (10) 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 10663233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12430621800).

10663233400 is an abundant number, since it is smaller than the sum of its proper divisors (14198010200).

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

10663233400 is a wasteful number, since it uses less digits than its factorization.

10663233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148888 (or 148879 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The spelling of 10663233400 in words is "ten billion, six hundred sixty-three million, two hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 359 718 1436 1795 2872 3590 7180 8975 14360 17950 35900 71800 148513 297026 594052 742565 1188104 1485130 2970260 3712825 5940520 7425650 14851300 29702600 53316167 106632334 213264668 266580835 426529336 533161670 1066323340 1332904175 2132646680 2665808350 5331616700 10663233400