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6445053342 = 2327136758727
BaseRepresentation
bin1100000000010011…
…11011010110011110
3121122011111122002100
412000021323112132
5101144413201332
62543311505530
7315500022660
oct60011732636
917564448070
106445053342
112808078a72
1212ba5282a6
137b9353040
14451d80530
1527ac4a67c
hex18027b59e

6445053342 has 96 divisors (see below), whose sum is σ = 17443625472. Its totient is φ = 1674395712.

The previous prime is 6445053341. The next prime is 6445053367. The reversal of 6445053342 is 2433505446.

6445053342 is a `hidden beast` number, since 644 + 5 + 0 + 5 + 3 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6445053297 and 6445053306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6445053341) 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, 80383 + ... + 139109.

It is an arithmetic number, because the mean of its divisors is an integer number (181704432).

Almost surely, 26445053342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6445053342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8721812736).

6445053342 is an abundant number, since it is smaller than the sum of its proper divisors (10998572130).

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

6445053342 is a wasteful number, since it uses less digits than its factorization.

6445053342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58822 (or 58819 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 6445053342 is about 80281.0895665972. The cubic root of 6445053342 is about 1860.9819979331.

Adding to 6445053342 its reverse (2433505446), we get a palindrome (8878558788).

The spelling of 6445053342 in words is "six billion, four hundred forty-five million, fifty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 67 78 91 117 126 134 182 201 234 273 402 469 546 603 819 871 938 1206 1407 1638 1742 2613 2814 4221 5226 6097 7839 8442 12194 15678 18291 36582 54873 58727 109746 117454 176181 352362 411089 528543 763451 822178 1057086 1233267 1526902 2290353 2466534 3699801 3934709 4580706 5344157 6871059 7399602 7869418 10688314 11804127 13742118 16032471 23608254 27542963 32064942 35412381 48097413 51151217 55085926 70824762 82628889 96194826 102302434 153453651 165257778 247886667 306907302 358058519 460360953 495773334 716117038 920721906 1074175557 2148351114 3222526671 6445053342