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80090434800 = 2434522471927
BaseRepresentation
bin100101010010111000…
…0110000110011110000
321122201122021122020000
41022211300300303300
52303011122403200
6100443143550000
75533500314625
oct1124560606360
9248648248200
1080090434800
1130a69a65092
121363215b300
137724aa992c
143c3ab9a34c
15213b3d4300
hex12a5c30cf0

80090434800 has 150 divisors (see below), whose sum is σ = 287438259768. Its totient is φ = 21357440640.

The previous prime is 80090434783. The next prime is 80090434807. The reversal of 80090434800 is 843409008.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80090434807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1203564 + ... + 1268363.

Almost surely, 280090434800 is an apocalyptic number.

80090434800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80090434800 is an abundant number, since it is smaller than the sum of its proper divisors (207347824968).

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

80090434800 is a wasteful number, since it uses less digits than its factorization.

80090434800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471957 (or 2471937 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 80090434800 in words is "eighty billion, ninety million, four hundred thirty-four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 135 144 150 162 180 200 216 225 240 270 300 324 360 400 405 432 450 540 600 648 675 720 810 900 1080 1200 1296 1350 1620 1800 2025 2160 2700 3240 3600 4050 5400 6480 8100 10800 16200 32400 2471927 4943854 7415781 9887708 12359635 14831562 19775416 22247343 24719270 29663124 37078905 39550832 44494686 49438540 59326248 61798175 66742029 74157810 88989372 98877080 111236715 118652496 123596350 133484058 148315620 177978744 185394525 197754160 200226087 222473430 247192700 266968116 296631240 333710145 355957488 370789050 400452174 444946860 494385400 533936232 556183575 593262480 667420290 741578100 800904348 889893720 988770800 1001130435 1067872464 1112367150 1334840580 1483156200 1601808696 1668550725 1779787440 2002260870 2224734300 2669681160 2966312400 3203617392 3337101450 4004521740 4449468600 5005652175 5339362320 6674202900 8009043480 8898937200 10011304350 13348405800 16018086960 20022608700 26696811600 40045217400 80090434800