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4441488768 = 27339713249
BaseRepresentation
bin1000010001011101…
…11011110110000000
3102110112110000012000
410020232323312000
533044010120033
62012420304000
7215031013563
oct41056736600
912415400160
104441488768
11197a117282
12a3b542000
1355a22b382
14301c384da
151aedd1a13
hex108bbbd80

4441488768 has 128 divisors (see below), whose sum is σ = 13244700000. Its totient is φ = 1465122816.

The previous prime is 4441488749. The next prime is 4441488781. The reversal of 4441488768 is 8678841444.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 328608 + ... + 341856.

Almost surely, 24441488768 is an apocalyptic number.

4441488768 is a gapful number since it is divisible by the number (48) 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 4441488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622350000).

4441488768 is an abundant number, since it is smaller than the sum of its proper divisors (8803211232).

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

4441488768 is a wasteful number, since it uses less digits than its factorization.

4441488768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13369 (or 13351 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The square root of 4441488768 is about 66644.4954065975. The cubic root of 4441488768 is about 1643.7768358170.

The spelling of 4441488768 in words is "four billion, four hundred forty-one million, four hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 128 144 192 194 216 288 291 384 388 432 576 582 776 864 873 1152 1164 1552 1728 1746 2328 2619 3104 3456 3492 4656 5238 6208 6984 9312 10476 12416 13249 13968 18624 20952 26498 27936 37248 39747 41904 52996 55872 79494 83808 105992 111744 119241 158988 167616 211984 238482 317976 335232 357723 423968 476964 635952 715446 847936 953928 1271904 1285153 1430892 1695872 1907856 2543808 2570306 2861784 3815712 3855459 5087616 5140612 5723568 7631424 7710918 10281224 11447136 11566377 15262848 15421836 20562448 22894272 23132754 30843672 34699131 41124896 45788544 46265508 61687344 69398262 82249792 92531016 123374688 138796524 164499584 185062032 246749376 277593048 370124064 493498752 555186096 740248128 1110372192 1480496256 2220744384 4441488768