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80615448810 = 232513214293709
BaseRepresentation
bin100101100010100001…
…1100010000011101010
321201002020012010001100
41023011003202003222
52310100023330220
6101011220502230
75552504003001
oct1130503420352
9251066163040
1080615448810
1131209356966
1213759b4a976
1377a97ac400
143c8a7c3c38
15216c53dd90
hex12c50e20ea

80615448810 has 144 divisors (see below), whose sum is σ = 227183556600. Its totient is φ = 19824569856.

The previous prime is 80615448731. The next prime is 80615448811. The reversal of 80615448810 is 1884451608.

80615448810 is a `hidden beast` number, since 8 + 0 + 6 + 154 + 488 + 10 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 15417443889 + 65198004921 = 124167^2 + 255339^2 .

It is a super-2 number, since 2×806154488102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (80615448811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21733236 + ... + 21736944.

Almost surely, 280615448810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80615448810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113591778300).

80615448810 is an abundant number, since it is smaller than the sum of its proper divisors (146568107790).

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

80615448810 is a wasteful number, since it uses less digits than its factorization.

80615448810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 80615448810 in words is "eighty billion, six hundred fifteen million, four hundred forty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1429 1521 1690 2535 2858 3042 3709 4287 5070 7145 7418 7605 8574 11127 12861 14290 15210 18545 18577 21435 22254 25722 33381 37090 37154 42870 48217 55635 55731 64305 66762 92885 96434 111270 111462 128610 144651 166905 167193 185770 241085 241501 278655 289302 333810 334386 433953 482170 483002 557310 626821 723255 724503 835965 867906 1207505 1253642 1446510 1449006 1671930 1880463 2169765 2173509 2415010 3134105 3622515 3760926 4339530 4347018 5300161 5641389 6268210 7245030 9402315 10600322 10867545 11282778 15900483 18804630 21735090 26500805 28206945 31800966 47701449 53001610 56413890 68902093 79502415 95402898 137804186 159004830 206706279 238507245 344510465 413412558 477014490 620118837 689020930 895727209 1033531395 1240237674 1791454418 2067062790 2687181627 3100594185 4478636045 5374363254 6201188370 8061544881 8957272090 13435908135 16123089762 26871816270 40307724405 80615448810