Search a number
-
+
14871859968 = 28371927997
BaseRepresentation
bin11011101100110111…
…01001001100000000
31102101110000202121110
431312123221030000
5220424144004333
610455415323320
71034352503220
oct156633511400
942343022543
1014871859968
116341860569
122a70680540
131530132054
14a111ca080
155c0952063
hex3766e9300

14871859968 has 432 divisors, whose sum is σ = 48844078080. Its totient is φ = 3933536256.

The previous prime is 14871859967. The next prime is 14871859969. The reversal of 14871859968 is 86995817841.

It is an interprime number because it is at equal distance from previous prime (14871859967) and next prime (14871859969).

It is a super-2 number, since 2×148718599682 (a number of 21 digits) contains 22 as substring.

Its product of digits (34836480) is a multiple of the sum of its prime factors (240).

It is a junction number, because it is equal to n+sod(n) for n = 14871859899 and 14871859908.

It is not an unprimeable number, because it can be changed into a prime (14871859967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153318096 + ... + 153318192.

Almost surely, 214871859968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14871859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24422039040).

14871859968 is an abundant number, since it is smaller than the sum of its proper divisors (33972218112).

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

14871859968 is an equidigital number, since it uses as much as digits as its factorization.

14871859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 207 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 66.

The spelling of 14871859968 in words is "fourteen billion, eight hundred seventy-one million, eight hundred fifty-nine thousand, nine hundred sixty-eight".