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27460163406 = 23132731013673
BaseRepresentation
bin11001100100110000…
…001101011101001110
32121212202010211120010
4121210300031131032
5422214300212111
620340502334050
71661326352304
oct314460153516
977782124503
1027460163406
1110711601225
1253a442a326
132788128600
141486dc8274
15aaab7eaa6
hex664c0d74e

27460163406 has 96 divisors (see below), whose sum is σ = 60898048992. Its totient is φ = 8248780800.

The previous prime is 27460163377. The next prime is 27460163411. The reversal of 27460163406 is 60436106472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7474386 + ... + 7478058.

It is an arithmetic number, because the mean of its divisors is an integer number (634354677).

Almost surely, 227460163406 is an apocalyptic number.

27460163406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27460163406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30449024496).

27460163406 is an abundant number, since it is smaller than the sum of its proper divisors (33437885586).

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

27460163406 is a wasteful number, since it uses less digits than its factorization.

27460163406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

Adding to 27460163406 its reverse (60436106472), we get a palindrome (87896269878).

The spelling of 27460163406 in words is "twenty-seven billion, four hundred sixty million, one hundred sixty-three thousand, four hundred six".

Divisors: 1 2 3 6 13 26 39 73 78 101 146 169 202 219 303 338 438 507 606 949 1014 1313 1898 2626 2847 3673 3939 5694 7346 7373 7878 11019 12337 14746 17069 22038 22119 24674 34138 37011 44238 47749 51207 74022 95498 95849 102414 143247 191698 268129 286494 287547 370973 536258 575094 620737 741946 804387 1112919 1241474 1246037 1608774 1862211 2225838 2492074 3485677 3724422 3738111 4822649 6971354 7476222 9645298 10457031 14467947 20914062 27081029 28935894 45313801 54162058 62694437 81243087 90627602 125388874 135941403 162486174 188083311 271882806 352053377 376166622 704106754 1056160131 2112320262 4576693901 9153387802 13730081703 27460163406