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80408840080 = 24573137100501
BaseRepresentation
bin100101011100010111…
…1011000011110010000
321200112211102022011011
41022320233120132100
52304134130340310
6100534520300304
75544414602122
oct1127057303620
9250484368134
1080408840080
113111276a748
1213700911694
137775a5001a
143c6b1a1212
15215932b78a
hex12b8bd8790

80408840080 has 80 divisors (see below), whose sum is σ = 190896714864. Its totient is φ = 31491072000.

The previous prime is 80408840027. The next prime is 80408840093. The reversal of 80408840080 is 8004880408.

It can be written as a sum of positive squares in 8 ways, for example, as 2616936336 + 77791903744 = 51156^2 + 278912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×804088400802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 749830 + ... + 850330.

Almost surely, 280408840080 is an apocalyptic number.

80408840080 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 80408840080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95448357432).

80408840080 is an abundant number, since it is smaller than the sum of its proper divisors (110487874784).

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

80408840080 is a wasteful number, since it uses less digits than its factorization.

80408840080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100724 (or 100718 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 80408840080 in words is "eighty billion, four hundred eight million, eight hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 137 146 274 292 365 548 584 685 730 1096 1168 1370 1460 2192 2740 2920 5480 5840 10001 10960 20002 40004 50005 80008 100010 100501 160016 200020 201002 400040 402004 502505 800080 804008 1005010 1608016 2010020 4020040 7336573 8040080 13768637 14673146 27537274 29346292 36682865 55074548 58692584 68843185 73365730 110149096 117385168 137686370 146731460 220298192 275372740 293462920 550745480 586925840 1005110501 1101490960 2010221002 4020442004 5025552505 8040884008 10051105010 16081768016 20102210020 40204420040 80408840080