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80514342405 = 32572475991297
BaseRepresentation
bin100101011111100000…
…1110101111000000101
321200211011221101010200
41022333001311320011
52304343132424110
6100553205441113
75550135422100
oct1127701657005
9250734841120
1080514342405
113116727a152
1213730110199
13779186c133
143c7b1c5737
15216371b6c0
hex12bf075e05

80514342405 has 144 divisors (see below), whose sum is σ = 166202150400. Its totient is φ = 35935570944.

The previous prime is 80514342367. The next prime is 80514342421. The reversal of 80514342405 is 50424341508.

It is a happy number.

It is not a de Polignac number, because 80514342405 - 26 = 80514342341 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 80514342405.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 62076717 + ... + 62078013.

It is an arithmetic number, because the mean of its divisors is an integer number (1154181600).

Almost surely, 280514342405 is an apocalyptic number.

It is an amenable number.

80514342405 is an abundant number, since it is smaller than the sum of its proper divisors (85687807995).

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

80514342405 is a wasteful number, since it uses less digits than its factorization.

80514342405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 80514342405 in words is "eighty billion, five hundred fourteen million, three hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 47 49 63 105 141 147 235 245 315 329 423 441 599 705 735 987 1297 1645 1797 2115 2205 2303 2961 2995 3891 4193 4935 5391 6485 6909 8985 9079 11515 11673 12579 14805 19455 20727 20965 26955 27237 28153 29351 34545 37737 45395 58365 60959 62895 63553 81711 84459 88053 103635 136185 140765 146755 182877 188685 190659 197071 253377 264159 304795 317765 408555 422295 426713 440265 548631 571977 591213 776903 914385 953295 985355 1266885 1280139 1320795 1379497 1773639 2133565 2330709 2743155 2859885 2956065 2986991 3840417 3884515 4138491 5438321 6400695 6897485 6992127 8868195 8960973 11653545 12415473 14934955 16314963 19202085 20692455 26882919 27191605 34960635 36514441 38068247 44804865 48944889 62077365 81574815 109543323 114204741 134414595 182572205 190341235 244724445 255601087 328629969 342614223 547716615 571023705 766803261 1278005435 1643149845 1713071115 1789207609 2300409783 3834016305 5367622827 8946038045 11502048915 16102868481 26838114135 80514342405