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10380672192 = 26311171915217
BaseRepresentation
bin10011010101011110…
…00111110011000000
3222210110001210012110
421222233013303000
5132224423002232
64434021455320
7515146154262
oct115257076300
928713053173
1010380672192
114447689730
122018571540
13c958225a7
14706935b32
1540b504acc
hex26abc7cc0

10380672192 has 224 divisors, whose sum is σ = 33396814080. Its totient is φ = 2804613120.

The previous prime is 10380672191. The next prime is 10380672193. The reversal of 10380672192 is 29127608301.

10380672192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10380672191) and next prime (10380672193).

It is a self number, because there is not a number n which added to its sum of digits gives 10380672192.

It is not an unprimeable number, because it can be changed into a prime (10380672191) by changing a digit.

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, 674568 + ... + 689784.

It is an arithmetic number, because the mean of its divisors is an integer number (149092920).

Almost surely, 210380672192 is an apocalyptic number.

10380672192 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 10380672192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16698407040).

10380672192 is an abundant number, since it is smaller than the sum of its proper divisors (23016141888).

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

10380672192 is a wasteful number, since it uses less digits than its factorization.

10380672192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15279 (or 15269 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 10380672192 in words is "ten billion, three hundred eighty million, six hundred seventy-two thousand, one hundred ninety-two".