Search a number
-
+
16145099520 = 2835111920117
BaseRepresentation
bin11110000100101001…
…01010101100000000
31112200011212000220220
433002110222230000
5231031121141040
611230021303040
71111043036664
oct170224525400
945604760826
1016145099520
116935540260
123166b64a80
1316a3b5a734
14ad23428a4
156476082d0
hex3c252ab00

16145099520 has 288 divisors, whose sum is σ = 59214516480. Its totient is φ = 3707781120.

The previous prime is 16145099519. The next prime is 16145099587. The reversal of 16145099520 is 2599054161.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792502 + ... + 812618.

It is an arithmetic number, because the mean of its divisors is an integer number (205605960).

Almost surely, 216145099520 is an apocalyptic number.

16145099520 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 16145099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29607258240).

16145099520 is an abundant number, since it is smaller than the sum of its proper divisors (43069416960).

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

16145099520 is a wasteful number, since it uses less digits than its factorization.

16145099520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20171 (or 20157 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 16145099520 in words is "sixteen billion, one hundred forty-five million, ninety-nine thousand, five hundred twenty".