Search a number
-
+
80408343456 = 2532739885091
BaseRepresentation
bin100101011100010110…
…1011111001110100000
321200112210111001220200
41022320231133032200
52304134013442311
6100534501505200
75544410433210
oct1127055371640
9250483431820
1080408343456
1131112460611
1213700712200
137775907c6c
143c6b0b2240
15215927e556
hex12b8b5f3a0

80408343456 has 72 divisors (see below), whose sum is σ = 261327122784. Its totient is φ = 22973811840.

The previous prime is 80408343439. The next prime is 80408343467. The reversal of 80408343456 is 65434380408.

80408343456 is a `hidden beast` number, since 80 + 4 + 0 + 83 + 43 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19940530 + ... + 19944561.

It is an arithmetic number, because the mean of its divisors is an integer number (3629543372).

Almost surely, 280408343456 is an apocalyptic number.

It is an amenable number.

80408343456 is an abundant number, since it is smaller than the sum of its proper divisors (180918779328).

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

80408343456 is a wasteful number, since it uses less digits than its factorization.

80408343456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39885114 (or 39885103 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 80408343456 in words is "eighty billion, four hundred eight million, three hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 39885091 79770182 119655273 159540364 239310546 279195637 319080728 358965819 478621092 558391274 638161456 717931638 837586911 957242184 1116782548 1276322912 1435863276 1675173822 1914484368 2233565096 2512760733 2871726552 3350347644 3828968736 4467130192 5025521466 5743453104 6700695288 8934260384 10051042932 11486906208 13401390576 20102085864 26802781152 40204171728 80408343456