Search a number
-
+
661614513444 = 2232233313252001
BaseRepresentation
bin10011010000010110100…
…11000100110100100100
32100020202001102122022200
421220023103010310210
541314441303412234
61223535211054500
765541265401003
oct11501323046444
92306661378280
10661614513444
11235653165495
12a8285441430
134a50ba324a1
1424045328c3a
15123241d9d99
hex9a0b4c4d24

661614513444 has 72 divisors (see below), whose sum is σ = 1684965004632. Its totient is φ = 218889216000.

The previous prime is 661614513409. The next prime is 661614513451. The reversal of 661614513444 is 444315416166.

661614513444 is a `hidden beast` number, since 6 + 6 + 161 + 45 + 1 + 3 + 444 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12561926400 + 649052587044 = 112080^2 + 805638^2 .

It is a super-2 number, since 2×6616145134442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 661614513444.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2499444 + ... + 2751444.

It is an arithmetic number, because the mean of its divisors is an integer number (23402291731).

Almost surely, 2661614513444 is an apocalyptic number.

It is an amenable number.

661614513444 is an abundant number, since it is smaller than the sum of its proper divisors (1023350491188).

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

661614513444 is a wasteful number, since it uses less digits than its factorization.

661614513444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252557 (or 252552 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 661614513444 in words is "six hundred sixty-one billion, six hundred fourteen million, five hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 233 313 466 626 699 932 939 1252 1398 1878 2097 2796 2817 3756 4194 5634 8388 11268 72929 145858 218787 252001 291716 437574 504002 656361 756003 875148 1008004 1312722 1512006 2268009 2625444 3024012 4536018 9072036 58716233 78876313 117432466 157752626 176148699 234864932 236628939 315505252 352297398 473257878 528446097 704594796 709886817 946515756 1056892194 1419773634 2113784388 2839547268 18378180929 36756361858 55134542787 73512723716 110269085574 165403628361 220538171148 330807256722 661614513444