Search a number
-
+
444887336664 = 2332371049159199
BaseRepresentation
bin1100111100101010101…
…10100000011011011000
31120112022222000100000100
412132111112200123120
524242112124233124
6540213423335400
744066502652521
oct6362526403330
91515288010010
10444887336664
11161748337851
127227ba51560
1332c500c3a94
14177658a5848
15b88c4d01c9
hex67955a06d8

444887336664 has 96 divisors (see below), whose sum is σ = 1238655600000. Its totient is φ = 144149331456.

The previous prime is 444887336659. The next prime is 444887336671. The reversal of 444887336664 is 466633788444.

It is a happy number.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2714937 + ... + 2874135.

It is an arithmetic number, because the mean of its divisors is an integer number (12902662500).

Almost surely, 2444887336664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444887336664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619327800000).

444887336664 is an abundant number, since it is smaller than the sum of its proper divisors (793768263336).

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

444887336664 is a wasteful number, since it uses less digits than its factorization.

444887336664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160297 (or 160290 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 63.

The spelling of 444887336664 in words is "four hundred forty-four billion, eight hundred eighty-seven million, three hundred thirty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1049 1332 2098 2664 3147 4196 6294 8392 9441 12588 18882 25176 37764 38813 75528 77626 116439 155252 159199 232878 310504 318398 349317 465756 477597 636796 698634 931512 955194 1273592 1397268 1432791 1910388 2794536 2865582 3820776 5731164 5890363 11462328 11780726 17671089 23561452 35342178 47122904 53013267 70684356 106026534 141368712 166999751 212053068 333999502 424106136 500999253 667999004 1001998506 1335998008 1502997759 2003997012 3005995518 4007994024 6011991036 6178990787 12023982072 12357981574 18536972361 24715963148 37073944722 49431926296 55610917083 74147889444 111221834166 148295778888 222443668332 444887336664