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80905288192 = 29419739733
BaseRepresentation
bin100101101011001010…
…1001011101000000000
321201211102120110221021
41023112111023220000
52311143223210232
6101100053035224
75562623413531
oct1132625135000
9251742513837
1080905288192
1131347a20543
121381b025b14
1378248604c1
143cb70b0688
152187be2397
hex12d654ba00

80905288192 has 80 divisors (see below), whose sum is σ = 167306682312. Its totient is φ = 39058145280.

The previous prime is 80905288169. The next prime is 80905288201. The reversal of 80905288192 is 29188250908.

It can be written as a sum of positive squares in 4 ways, for example, as 67259310336 + 13645977856 = 259344^2 + 116816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2016358 + ... + 2056090.

Almost surely, 280905288192 is an apocalyptic number.

80905288192 is a gapful number since it is divisible by the number (82) 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 80905288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83653341156).

80905288192 is an abundant number, since it is smaller than the sum of its proper divisors (86401394120).

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

80905288192 is an equidigital number, since it uses as much as digits as its factorization.

80905288192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39889 (or 39873 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 52.

The spelling of 80905288192 in words is "eighty billion, nine hundred five million, two hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 64 82 97 128 164 194 256 328 388 512 656 776 1312 1552 2624 3104 3977 5248 6208 7954 10496 12416 15908 20992 24832 31816 39733 49664 63632 79466 127264 158932 254528 317864 509056 635728 1018112 1271456 1629053 2036224 2542912 3258106 3854101 5085824 6516212 7708202 10171648 13032424 15416404 20343296 26064848 30832808 52129696 61665616 104259392 123331232 158018141 208518784 246662464 316036282 417037568 493324928 632072564 834075136 986649856 1264145128 1973299712 2528290256 5056580512 10113161024 20226322048 40452644096 80905288192