Search a number
-
+
44386990680 = 23352382319541
BaseRepresentation
bin101001010101101010…
…111011101001011000
311020120101221202100210
4221111222323221120
51211401032200210
632220251131120
73130644124044
oct512552735130
9136511852323
1044386990680
111790833207a
128729143aa0
134254c0c036
14221109b024
15124bc00e20
hexa55abba58

44386990680 has 128 divisors (see below), whose sum is σ = 139126533120. Its totient is φ = 11307563520.

The previous prime is 44386990663. The next prime is 44386990709. The reversal of 44386990680 is 8609968344.

It is a self number, because there is not a number n which added to its sum of digits gives 44386990680.

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 31 ways as a sum of consecutive naturals, for example, 2261710 + ... + 2281250.

It is an arithmetic number, because the mean of its divisors is an integer number (1086926040).

Almost surely, 244386990680 is an apocalyptic number.

44386990680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44386990680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69563266560).

44386990680 is an abundant number, since it is smaller than the sum of its proper divisors (94739542440).

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

44386990680 is a wasteful number, since it uses less digits than its factorization.

44386990680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20401 (or 20397 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 44386990680 in words is "forty-four billion, three hundred eighty-six million, nine hundred ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 823 920 1380 1646 2469 2760 3292 4115 4938 6584 8230 9876 12345 16460 18929 19541 19752 24690 32920 37858 39082 49380 56787 58623 75716 78164 94645 97705 98760 113574 117246 151432 156328 189290 195410 227148 234492 283935 293115 378580 390820 449443 454296 468984 567870 586230 757160 781640 898886 1135740 1172460 1348329 1797772 2247215 2271480 2344920 2696658 3595544 4494430 5393316 6741645 8988860 10786632 13483290 16082243 17977720 26966580 32164486 48246729 53933160 64328972 80411215 96493458 128657944 160822430 192986916 241233645 321644860 369891589 385973832 482467290 643289720 739783178 964934580 1109674767 1479566356 1849457945 1929869160 2219349534 2959132712 3698915890 4438699068 5548373835 7397831780 8877398136 11096747670 14795663560 22193495340 44386990680