Search a number
-
+
44106626580 = 223541138112983
BaseRepresentation
bin101001000100111101…
…011011011000010100
311012211212101210010020
4221010331123120110
51210312244022310
632132354025140
73121001066022
oct510475333024
9135755353106
1044106626580
111778404a405
12866b2781b0
13420bac7a13
1421c5b59712
1512322c0170
hexa44f5b614

44106626580 has 96 divisors (see below), whose sum is σ = 126612073728. Its totient is φ = 11465702400.

The previous prime is 44106626567. The next prime is 44106626587. The reversal of 44106626580 is 8562660144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44106626587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3390769 + ... + 3403751.

It is an arithmetic number, because the mean of its divisors is an integer number (1318875768).

Almost surely, 244106626580 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 44106626580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63306036864).

44106626580 is an abundant number, since it is smaller than the sum of its proper divisors (82505447148).

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

44106626580 is a wasteful number, since it uses less digits than its factorization.

44106626580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14417 (or 14415 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 44106626580 in words is "forty-four billion, one hundred six million, six hundred twenty-six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1381 2460 2762 4143 5524 6905 8286 12983 13810 16572 20715 25966 27620 38949 41430 51932 56621 64915 77898 82860 113242 129830 155796 169863 194745 226484 259660 283105 339726 389490 532303 566210 679452 778980 849315 1064606 1132420 1596909 1698630 2129212 2661515 3193818 3397260 5323030 6387636 7984545 10646060 15969090 17929523 31938180 35859046 53788569 71718092 89647615 107577138 179295230 215154276 268942845 358590460 537885690 735110443 1075771380 1470220886 2205331329 2940441772 3675552215 4410662658 7351104430 8821325316 11026656645 14702208860 22053313290 44106626580