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44106666720 = 2535547167987
BaseRepresentation
bin101001000100111101…
…100101001011100000
311012211212110211011220
4221010331211023200
51210312301313340
632132354535040
73121001324034
oct510475451340
9135755424156
1044106666720
1117784077586
12866b297480
13420bb1007c
1421c5b6a1c4
1512322cbed0
hexa44f652e0

44106666720 has 96 divisors (see below), whose sum is σ = 139190825088. Its totient is φ = 11740205568.

The previous prime is 44106666707. The next prime is 44106666743. The reversal of 44106666720 is 2766660144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178567 + ... + 346553.

It is an arithmetic number, because the mean of its divisors is an integer number (1449904428).

Almost surely, 244106666720 is an apocalyptic number.

44106666720 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 44106666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69595412544).

44106666720 is an abundant number, since it is smaller than the sum of its proper divisors (95084158368).

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

44106666720 is a wasteful number, since it uses less digits than its factorization.

44106666720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168552 (or 168544 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 44106666720 in words is "forty-four billion, one hundred six million, six hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 547 1094 1641 2188 2735 3282 4376 5470 6564 8205 8752 10940 13128 16410 17504 21880 26256 32820 43760 52512 65640 87520 131280 167987 262560 335974 503961 671948 839935 1007922 1343896 1679870 2015844 2519805 2687792 3359740 4031688 5039610 5375584 6719480 8063376 10079220 13438960 16126752 20158440 26877920 40316880 80633760 91888889 183777778 275666667 367555556 459444445 551333334 735111112 918888890 1102666668 1378333335 1470222224 1837777780 2205333336 2756666670 2940444448 3675555560 4410666672 5513333340 7351111120 8821333344 11026666680 14702222240 22053333360 44106666720