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10372320860 = 22511215492767
BaseRepresentation
bin10011010100011110…
…10000111001011100
3222202212100111022212
421222033100321130
5132220303231420
64433122455552
7515015162336
oct115217207134
928685314285
1010372320860
1144429a5200
1220158045b8
13c93b8a285
147057a0456
1540a9053c5
hex26a3d0e5c

10372320860 has 72 divisors (see below), whose sum is σ = 23966174400. Its totient is φ = 3767955840.

The previous prime is 10372320841. The next prime is 10372320869. The reversal of 10372320860 is 6802327301.

It is a happy number.

10372320860 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 2×103723208602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10372320869) 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 23 ways as a sum of consecutive naturals, for example, 3747197 + ... + 3749963.

Almost surely, 210372320860 is an apocalyptic number.

10372320860 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 10372320860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11983087200).

10372320860 is an abundant number, since it is smaller than the sum of its proper divisors (13593853540).

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

10372320860 is a wasteful number, since it uses less digits than its factorization.

10372320860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 10372320860 in words is "ten billion, three hundred seventy-two million, three hundred twenty thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1549 2420 2767 3098 5534 6196 7745 11068 13835 15490 17039 27670 30437 30980 34078 55340 60874 68156 85195 121748 152185 170390 187429 304370 334807 340780 374858 608740 669614 749716 937145 1339228 1674035 1874290 3348070 3748580 4286083 6696140 8572166 17144332 21430415 42860830 47146913 85721660 94293826 188587652 235734565 471469130 518616043 942938260 1037232086 2074464172 2593080215 5186160430 10372320860