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4404805680 = 2435113374951
BaseRepresentation
bin1000001101000110…
…00000000000110000
3102100222102022110010
410012203000000300
533010112240210
62005030134520
7214104142032
oct40643000060
912328368403
104404805680
111960441780
12a2b1b1440
135527564c2
142db009c52
151aba87920
hex1068c0030

4404805680 has 160 divisors (see below), whose sum is σ = 14943472128. Its totient is φ = 1064448000.

The previous prime is 4404805667. The next prime is 4404805709. The reversal of 4404805680 is 865084044.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887205 + ... + 892155.

Almost surely, 24404805680 is an apocalyptic number.

4404805680 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 4404805680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7471736064).

4404805680 is an abundant number, since it is smaller than the sum of its proper divisors (10538666448).

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

4404805680 is a wasteful number, since it uses less digits than its factorization.

4404805680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 4404805680 is about 66368.7100974548. The cubic root of 4404805680 is about 1639.2388992677.

The spelling of 4404805680 in words is "four billion, four hundred four million, eight hundred five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 337 440 528 660 674 880 1011 1320 1348 1685 2022 2640 2696 3370 3707 4044 4951 5055 5392 6740 7414 8088 9902 10110 11121 13480 14828 14853 16176 18535 19804 20220 22242 24755 26960 29656 29706 37070 39608 40440 44484 49510 54461 55605 59312 59412 74140 74265 79216 80880 88968 99020 108922 111210 118824 148280 148530 163383 177936 198040 217844 222420 237648 272305 296560 297060 326766 396080 435688 444840 544610 594120 653532 816915 871376 889680 1089220 1188240 1307064 1633830 1668487 2178440 2614128 3267660 3336974 4356880 5005461 6535320 6673948 8342435 10010922 13070640 13347896 16684870 18353357 20021844 25027305 26695792 33369740 36706714 40043688 50054610 55060071 66739480 73413428 80087376 91766785 100109220 110120142 133478960 146826856 183533570 200218440 220240284 275300355 293653712 367067140 400436880 440480568 550600710 734134280 880961136 1101201420 1468268560 2202402840 4404805680