Search a number
-
+
16441265151753 = 3132111997966357
BaseRepresentation
bin1110111101000000011111…
…0001001101111100001001
32011012202210001000002011020
43233100013301031330021
54123333202334324003
654545002443423053
73314561606640411
oct357200761157411
964182701002136
1016441265151753
115269779612072
121a16516524a89
139235350321c0
1440ba936db641
151d7a1d3b5d53
hexef407c4df09

16441265151753 has 16 divisors (see below), whose sum is σ = 23719856602176. Its totient is φ = 10069750434240.

The previous prime is 16441265151691. The next prime is 16441265151781. The reversal of 16441265151753 is 35715156214461.

It is not a de Polignac number, because 16441265151753 - 213 = 16441265143561 is a prime.

It is a super-3 number, since 3×164412651517533 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16441265151696 and 16441265151705.

It is not an unprimeable number, because it can be changed into a prime (16441265151053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 998974950 + ... + 998991407.

It is an arithmetic number, because the mean of its divisors is an integer number (1482491037636).

Almost surely, 216441265151753 is an apocalyptic number.

16441265151753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16441265151753 is a deficient number, since it is larger than the sum of its proper divisors (7278591450423).

16441265151753 is a wasteful number, since it uses less digits than its factorization.

16441265151753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997966584.

The product of its digits is 3024000, while the sum is 51.

The spelling of 16441265151753 in words is "sixteen trillion, four hundred forty-one billion, two hundred sixty-five million, one hundred fifty-one thousand, seven hundred fifty-three".

Divisors: 1 3 13 39 211 633 2743 8229 1997966357 5993899071 25973562641 77920687923 421570901327 1264712703981 5480421717251 16441265151753