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10427303406 = 23133110939563
BaseRepresentation
bin10011011011000010…
…00000010111101110
3222220200210220012110
421231201000113232
5132323342202111
64442405144450
7516253421322
oct115541002756
928820726173
1010427303406
114470a39423
1220300bb126
13ca239b520
1470cbd3982
154106665a6
hex26d8405ee

10427303406 has 64 divisors (see below), whose sum is σ = 23396567040. Its totient is φ = 3076341120.

The previous prime is 10427303357. The next prime is 10427303431. The reversal of 10427303406 is 60430372401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243781 + ... + 283343.

It is an arithmetic number, because the mean of its divisors is an integer number (365571360).

Almost surely, 210427303406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10427303406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11698283520).

10427303406 is an abundant number, since it is smaller than the sum of its proper divisors (12969263634).

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

10427303406 is a wasteful number, since it uses less digits than its factorization.

10427303406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39721.

The product of its (nonzero) digits is 12096, while the sum is 30.

Adding to 10427303406 its reverse (60430372401), we get a palindrome (70857675807).

The spelling of 10427303406 in words is "ten billion, four hundred twenty-seven million, three hundred three thousand, four hundred six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 109 186 218 327 403 654 806 1209 1417 2418 2834 3379 4251 6758 8502 10137 20274 39563 43927 79126 87854 118689 131781 237378 263562 514319 1028638 1226453 1542957 2452906 3085914 3679359 4312367 7358718 8624734 12937101 15943889 25874202 31887778 47831667 56060771 95663334 112121542 133683377 168182313 267366754 336364626 401050131 802100262 1737883901 3475767802 5213651703 10427303406