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80877919440 = 24352353276449
BaseRepresentation
bin100101101010010110…
…0110001110011010000
321201202112002000001210
41023110230301303100
52311114221410230
6101053234300120
75562141654333
oct1132454616320
9251675060053
1080877919440
1131333527a3a
1213811a27640
13781bc9a086
143cb35c861a
1521855d7eb0
hex12d4b31cd0

80877919440 has 160 divisors (see below), whose sum is σ = 266559724800. Its totient is φ = 20240416768.

The previous prime is 80877919439. The next prime is 80877919469. The reversal of 80877919440 is 4491977808.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 154336 + ... + 430784.

It is an arithmetic number, because the mean of its divisors is an integer number (1665998280).

Almost surely, 280877919440 is an apocalyptic number.

80877919440 is a gapful number since it is divisible by the number (80) 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 80877919440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133279862400).

80877919440 is an abundant number, since it is smaller than the sum of its proper divisors (185681805360).

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

80877919440 is a wasteful number, since it uses less digits than its factorization.

80877919440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276541 (or 276535 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 80877919440 in words is "eighty billion, eight hundred seventy-seven million, nine hundred nineteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 53 60 69 80 92 106 115 120 138 159 184 212 230 240 265 276 318 345 368 424 460 530 552 636 690 795 848 920 1060 1104 1219 1272 1380 1590 1840 2120 2438 2544 2760 3180 3657 4240 4876 5520 6095 6360 7314 9752 12190 12720 14628 18285 19504 24380 29256 36570 48760 58512 73140 97520 146280 276449 292560 552898 829347 1105796 1382245 1658694 2211592 2764490 3317388 4146735 4423184 5528980 6358327 6634776 8293470 11057960 12716654 13269552 14651797 16586940 19074981 22115920 25433308 29303594 31791635 33173880 38149962 43955391 50866616 58607188 63583270 66347760 73258985 76299924 87910782 95374905 101733232 117214376 127166540 146517970 152599848 175821564 190749810 219776955 234428752 254333080 293035940 305199696 336991331 351643128 381499620 439553910 508666160 586071880 673982662 703286256 762999240 879107820 1010973993 1172143760 1347965324 1525998480 1684956655 1758215640 2021947986 2695930648 3369913310 3516431280 4043895972 5054869965 5391861296 6739826620 8087791944 10109739930 13479653240 16175583888 20219479860 26959306480 40438959720 80877919440