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80277672882 = 231121916093617
BaseRepresentation
bin100101011000011101…
…1000001001110110010
321200012200121022120210
41022300323001032302
52303402041013012
6100513513044550
75541232650351
oct1126073011662
9250180538523
1080277672882
1131055720900
12136849b6756
1377548161b4
143c579b9998
15214ca6c23c
hex12b0ec13b2

80277672882 has 96 divisors (see below), whose sum is σ = 185933361600. Its totient is φ = 23025530880.

The previous prime is 80277672817. The next prime is 80277672883. The reversal of 80277672882 is 28827677208.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (80277672883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22192738 + ... + 22196354.

It is an arithmetic number, because the mean of its divisors is an integer number (1936805850).

Almost surely, 280277672882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80277672882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92966680800).

80277672882 is an abundant number, since it is smaller than the sum of its proper divisors (105655688718).

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

80277672882 is a wasteful number, since it uses less digits than its factorization.

80277672882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

The spelling of 80277672882 in words is "eighty billion, two hundred seventy-seven million, six hundred seventy-two thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 1609 2299 3218 3617 4598 4827 6897 7234 9654 10851 13794 17699 21702 30571 35398 39787 53097 61142 68723 79574 91713 106194 119361 137446 183426 194689 206169 238722 336281 389378 412338 437657 584067 672562 755953 875314 1008843 1168134 1312971 1511906 2017686 2267859 2625942 3699091 4535718 5819753 7398182 8315483 11097273 11639506 16630966 17459259 22194546 24946449 34918518 49892898 64017283 110575307 128034566 192051849 221150614 331725921 384103698 663451842 704190113 1216328377 1408380226 2112570339 2432656754 3648985131 4225140678 7297970262 13379612147 26759224294 40138836441 80277672882