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44949193901056 = 210192110272
BaseRepresentation
bin10100011100001100011001…
…01111000100010000000000
312220011002201121101220020101
422032012030233010100000
521342421422114313211
6235333212525452144
712316320633065344
oct1216061457042000
9186132647356211
1044949193901056
111335a934152505
12505b556111054
131c108c98b2093
14b157a4459624
1552e371e195c1
hex28e18cbc4400

44949193901056 has 99 divisors (see below), whose sum is σ = 94841181124599. Its totient is φ = 21289792555008.

The previous prime is 44949193901033. The next prime is 44949193901137. The reversal of 44949193901056 is 65010939194944.

The square root of 44949193901056 is 6704416.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4076279415 + ... + 4076290441.

Almost surely, 244949193901056 is an apocalyptic number.

44949193901056 is the 6704416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44949193901056

44949193901056 is an abundant number, since it is smaller than the sum of its proper divisors (49891987223543).

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

44949193901056 is an frugal number, since it uses more digits than its factorization.

44949193901056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22112 (or 11048 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 64.

44949193901056 divided by its sum of digits (64) gives a square (702331154704 = 8380522).

The spelling of 44949193901056 in words is "forty-four trillion, nine hundred forty-nine billion, one hundred ninety-three million, nine hundred one thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 1024 1216 1444 2432 2888 4864 5776 9728 11027 11552 19456 22054 23104 44108 46208 88216 92416 176432 184832 209513 352864 369664 419026 705728 838052 1411456 1676104 2822912 3352208 3980747 5645824 6704416 7961494 11291648 13408832 15922988 26817664 31845976 53635328 63691952 107270656 121594729 127383904 214541312 243189458 254767808 486378916 509535616 972757832 1019071232 1945515664 2038142464 2310299851 3891031328 4076284928 4620599702 7782062656 9241199404 15564125312 18482398808 31128250624 36964797616 43895697169 62256501248 73929595232 87791394338 124513002496 147859190464 175582788676 295718380928 351165577352 591436761856 702331154704 1182873523712 1404662309408 2365747047424 2809324618816 5618649237632 11237298475264 22474596950528 44949193901056