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80080008800 = 25521126933829
BaseRepresentation
bin100101010010100100…
…0111111011001100000
321122200220122221102212
41022211020333121200
52303000440240200
6100442132301252
75533312562261
oct1124510773140
9248626587385
1080080008800
1130a64093960
121362a771828
1377228991bc
143c39644968
15213a525035
hex12a523f660

80080008800 has 144 divisors (see below), whose sum is σ = 214066767600. Its totient is φ = 29010892800.

The previous prime is 80080008793. The next prime is 80080008817. The reversal of 80080008800 is 880008008.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2350286 + ... + 2384114.

It is an arithmetic number, because the mean of its divisors is an integer number (1486574775).

Almost surely, 280080008800 is an apocalyptic number.

80080008800 is a gapful number since it is divisible by the number (80) 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 80080008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107033383800).

80080008800 is an abundant number, since it is smaller than the sum of its proper divisors (133986758800).

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

80080008800 is a wasteful number, since it uses less digits than its factorization.

80080008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34129 (or 34116 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The spelling of 80080008800 in words is "eighty billion, eighty million, eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 269 275 352 400 440 538 550 800 880 1076 1100 1345 1760 2152 2200 2690 2959 4304 4400 5380 5918 6725 8608 8800 10760 11836 13450 14795 21520 23672 26900 29590 33829 43040 47344 53800 59180 67658 73975 94688 107600 118360 135316 147950 169145 215200 236720 270632 295900 338290 372119 473440 541264 591800 676580 744238 845725 1082528 1183600 1353160 1488476 1691450 1860595 2367200 2706320 2976952 3382900 3721190 5412640 5953904 6765800 7442380 9100001 9302975 11907808 13531600 14884760 18200002 18605950 27063200 29769520 36400004 37211900 45500005 59539040 72800008 74423800 91000010 100100011 145600016 148847600 182000020 200200022 227500025 291200032 297695200 364000040 400400044 455000050 500500055 728000080 800800088 910000100 1001000110 1456000160 1601600176 1820000200 2002000220 2502500275 3203200352 3640000400 4004000440 5005000550 7280000800 8008000880 10010001100 16016001760 20020002200 40040004400 80080008800