Search a number
-
+
16442072260160 = 265169730277829
BaseRepresentation
bin1110111101000011011111…
…1000000101111001000000
32011012211212021201102202012
43233100313320011321000
54123341330444311120
654545214514512052
73314620610151221
oct357206770057100
964184767642665
1016442072260160
11526a053168608
121a16700895628
13923633303741
1440bb2c997248
151d7a691941c5
hexef437e05e40

16442072260160 has 56 divisors (see below), whose sum is σ = 39175757569080. Its totient is φ = 6572953124864.

The previous prime is 16442072260069. The next prime is 16442072260171. The reversal of 16442072260160 is 6106227024461.

It is a happy number.

16442072260160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4469198946304 + 11972873313856 = 2114048^2 + 3460184^2 .

It is a super-3 number, since 3×164420722601603 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14595875 + ... + 15681954.

Almost surely, 216442072260160 is an apocalyptic number.

16442072260160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16442072260160 is an abundant number, since it is smaller than the sum of its proper divisors (22733685308920).

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

16442072260160 is a wasteful number, since it uses less digits than its factorization.

16442072260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30279543 (or 30279533 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 16442072260160 in words is "sixteen trillion, four hundred forty-two billion, seventy-two million, two hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1697 3394 6788 8485 13576 16970 27152 33940 54304 67880 108608 135760 271520 543040 30277829 60555658 121111316 151389145 242222632 302778290 484445264 605556580 968890528 1211113160 1937781056 2422226320 4844452640 9688905280 51381475813 102762951626 205525903252 256907379065 411051806504 513814758130 822103613008 1027629516260 1644207226016 2055259032520 3288414452032 4110518065040 8221036130080 16442072260160