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480880420261660 = 225376122974637827
BaseRepresentation
bin110110101010110111011001…
…0101000010000111100011100
32100001122201102022011110101001
41231111232302220100330130
51001012221100041333120
64422425225413200044
7203201315046600166
oct15525566250207434
92301581368143331
10480880420261660
1112a2502717903a1
1245b25a1b930024
1317842aa1578283
1486a6a45059936
153a8dc0b18ee0a
hex1b55bb2a10f1c

480880420261660 has 96 divisors (see below), whose sum is σ = 1054603574676288. Its totient is φ = 184005190010880.

The previous prime is 480880420261627. The next prime is 480880420261663. The reversal of 480880420261660 is 66162024088084.

It is a super-3 number, since 3×4808804202616603 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480880420261663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101367667 + ... + 106005493.

It is an arithmetic number, because the mean of its divisors is an integer number (10985453902878).

Almost surely, 2480880420261660 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 480880420261660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527301787338144).

480880420261660 is an abundant number, since it is smaller than the sum of its proper divisors (573723154414628).

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

480880420261660 is a wasteful number, since it uses less digits than its factorization.

480880420261660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640231 (or 4640229 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 55.

The spelling of 480880420261660 in words is "four hundred eighty trillion, eight hundred eighty billion, four hundred twenty million, two hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 610 740 1220 2257 2297 4514 4594 9028 9188 11285 11485 22570 22970 45140 45940 84989 140117 169978 280234 339956 424945 560468 700585 849890 1401170 1699780 2802340 4637827 5184329 9275654 10368658 18551308 20737316 23189135 25921645 46378270 51843290 92756540 103686580 171599599 282907447 343199198 565814894 686398396 857997995 1131629788 1414537235 1715995990 2829074470 3431991980 5658148940 10467575539 10653088619 20935151078 21306177238 41870302156 42612354476 52337877695 53265443095 104675755390 106530886190 209351510780 213061772380 394164278903 649838405759 788328557806 1299676811518 1576657115612 1970821394515 2599353623036 3249192028795 3941642789030 6498384057590 7883285578060 12996768115180 24044021013083 48088042026166 96176084052332 120220105065415 240440210130830 480880420261660