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10669398432 = 2537113374283
BaseRepresentation
bin10011110111111001…
…00001100110100000
31000112120100121010220
421323330201212200
5133322331222212
64522414123040
7525253250610
oct117374414640
930476317126
1010669398432
114585662a60
1220991b0480
1310105a3b14
14733012a40
15426a3838c
hex27bf219a0

10669398432 has 192 divisors, whose sum is σ = 35029822464. Its totient is φ = 2762403840.

The previous prime is 10669398367. The next prime is 10669398463. The reversal of 10669398432 is 23489396601.

10669398432 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 2×106693984322 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2488963 + ... + 2493245.

It is an arithmetic number, because the mean of its divisors is an integer number (182446992).

Almost surely, 210669398432 is an apocalyptic number.

10669398432 is a gapful number since it is divisible by the number (12) 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 10669398432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17514911232).

10669398432 is an abundant number, since it is smaller than the sum of its proper divisors (24360424032).

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

10669398432 is a wasteful number, since it uses less digits than its factorization.

10669398432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 10669398432 in words is "ten billion, six hundred sixty-nine million, three hundred ninety-eight thousand, four hundred thirty-two".