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44272425680 = 2457359220217
BaseRepresentation
bin101001001110110101…
…111001101011010000
311020021102101020201122
4221032311321223100
51211132220110210
632201035421412
73125053260230
oct511665715320
9136242336648
1044272425680
11178596a275a
1286b68b4868
134237268bb2
1421ddb97cc0
151241b20b55
hexa4ed79ad0

44272425680 has 80 divisors (see below), whose sum is σ = 117966378240. Its totient is φ = 15136766976.

The previous prime is 44272425649. The next prime is 44272425709. The reversal of 44272425680 is 8652427244.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×442724256802 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 90932 + ... + 311148.

It is an arithmetic number, because the mean of its divisors is an integer number (1474579728).

Almost surely, 244272425680 is an apocalyptic number.

44272425680 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 44272425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58983189120).

44272425680 is an abundant number, since it is smaller than the sum of its proper divisors (73693952560).

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

44272425680 is a wasteful number, since it uses less digits than its factorization.

44272425680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220596 (or 220590 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 44.

The spelling of 44272425680 in words is "forty-four billion, two hundred seventy-two million, four hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 359 560 718 1436 1795 2513 2872 3590 5026 5744 7180 10052 12565 14360 20104 25130 28720 40208 50260 100520 201040 220217 440434 880868 1101085 1541519 1761736 2202170 3083038 3523472 4404340 6166076 7707595 8808680 12332152 15415190 17617360 24664304 30830380 61660760 79057903 123321520 158115806 316231612 395289515 553405321 632463224 790579030 1106810642 1264926448 1581158060 2213621284 2767026605 3162316120 4427242568 5534053210 6324632240 8854485136 11068106420 22136212840 44272425680