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10453623894 = 2327315945361
BaseRepresentation
bin10011011110001010…
…11010010001010110
3222222112100010010100
421233011122101112
5132402111431034
64445145234530
7520023223410
oct115705322126
928875303110
1010453623894
11448488639a
122038a92a46
13ca798578c
147124c59b0
15412b15099
hex26f15a456

10453623894 has 96 divisors (see below), whose sum is σ = 27173652480. Its totient is φ = 2841350400.

The previous prime is 10453623883. The next prime is 10453623899. The reversal of 10453623894 is 49832635401.

10453623894 is a `hidden beast` number, since 1 + 0 + 4 + 536 + 23 + 8 + 94 = 666.

10453623894 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10453623899) 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 47 ways as a sum of consecutive naturals, for example, 207774 + ... + 253134.

It is an arithmetic number, because the mean of its divisors is an integer number (283058880).

Almost surely, 210453623894 is an apocalyptic number.

10453623894 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10453623894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13586826240).

10453623894 is an abundant number, since it is smaller than the sum of its proper divisors (16720028586).

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

10453623894 is a wasteful number, since it uses less digits than its factorization.

10453623894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45466 (or 45463 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 10453623894 in words is "ten billion, four hundred fifty-three million, six hundred twenty-three thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 59 62 63 93 118 126 177 186 217 279 354 413 434 531 558 651 826 1062 1239 1302 1829 1953 2478 3658 3717 3906 5487 7434 10974 12803 16461 25606 32922 38409 45361 76818 90722 115227 136083 230454 272166 317527 408249 635054 816498 952581 1406191 1905162 2676299 2812382 2857743 4218573 5352598 5715486 8028897 8437146 9843337 12655719 16057794 18734093 19686674 24086691 25311438 29530011 37468186 48173382 56202279 59060022 82965269 88590033 112404558 165930538 168606837 177180066 248895807 337213674 497791614 580756883 746687421 1161513766 1493374842 1742270649 3484541298 5226811947 10453623894