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441972324352 = 2111367247769
BaseRepresentation
bin1100110111001111001…
…10100111100000000000
31120020210210220100212101
412123213212213200000
524220124403334402
6535012252440144
743634325525406
oct6334746474000
91506723810771
10441972324352
11160491944969
12717a7779054
13328a71c7c20
141756a6a3476
15b76b627b87
hex66e79a7800

441972324352 has 96 divisors (see below), whose sum is σ = 965916478800. Its totient is φ = 200941830144.

The previous prime is 441972324341. The next prime is 441972324361. The reversal of 441972324352 is 253423279144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1659924 + ... + 1907692.

Almost surely, 2441972324352 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 441972324352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482958239400).

441972324352 is an abundant number, since it is smaller than the sum of its proper divisors (523944154448).

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

441972324352 is a wasteful number, since it uses less digits than its factorization.

441972324352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247871 (or 247851 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The spelling of 441972324352 in words is "four hundred forty-one billion, nine hundred seventy-two million, three hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 128 134 208 256 268 416 512 536 832 871 1024 1072 1664 1742 2048 2144 3328 3484 4288 6656 6968 8576 13312 13936 17152 26624 27872 34304 55744 68608 111488 137216 222976 247769 445952 495538 891904 991076 1783808 1982152 3220997 3964304 6441994 7928608 12883988 15857216 16600523 25767976 31714432 33201046 51535952 63428864 66402092 103071904 126857728 132804184 206143808 215806799 253715456 265608368 412287616 431613598 507430912 531216736 824575232 863227196 1062433472 1649150464 1726454392 2124866944 3298300928 3452908784 4249733888 6596601856 6905817568 8499467776 13811635136 16998935552 27623270272 33997871104 55246540544 110493081088 220986162176 441972324352