Search a number
-
+
445605444216 = 23328969538927
BaseRepresentation
bin1100111110000000010…
…01110111101001111000
31120121012000020222101100
412133000021313221320
524300044443203331
6540412555051400
744123342531532
oct6370011675170
91517160228340
10445605444216
11161a86724669
1272440440b60
1333035b030aa
14177d2dd4852
15b8d057cae6
hex67c0277a78

445605444216 has 48 divisors (see below), whose sum is σ = 1220408186400. Its totient is φ = 146866211712.

The previous prime is 445605444211. The next prime is 445605444233. The reversal of 445605444216 is 612444506544.

445605444216 is a `hidden beast` number, since 4 + 4 + 5 + 60 + 544 + 42 + 1 + 6 = 666.

445605444216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445605444211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34763056 + ... + 34775871.

It is an arithmetic number, because the mean of its divisors is an integer number (25425170550).

Almost surely, 2445605444216 is an apocalyptic number.

It is an amenable number.

445605444216 is an abundant number, since it is smaller than the sum of its proper divisors (774802742184).

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

445605444216 is a wasteful number, since it uses less digits than its factorization.

445605444216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69539028 (or 69539021 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 445605444216 in words is "four hundred forty-five billion, six hundred five million, four hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 69538927 139077854 208616781 278155708 417233562 556311416 625850343 834467124 1251700686 1668934248 2503401372 5006802744 6188964503 12377929006 18566893509 24755858012 37133787018 49511716024 55700680527 74267574036 111401361054 148535148072 222802722108 445605444216