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80540108800 = 211529716217
BaseRepresentation
bin100101100000010010…
…0001000100000000000
321200212222102102222121
41023000210020200000
52304421231440200
6100555530014024
75550600425554
oct1130044104000
9250788372877
1080540108800
113117a878898
1213738877314
137796cc1118
143c807b1864
152165b0ae1a
hex12c0908800

80540108800 has 144 divisors (see below), whose sum is σ = 201761812980. Its totient is φ = 31881953280.

The previous prime is 80540108783. The next prime is 80540108801. The reversal of 80540108800 is 880104508.

It can be written as a sum of positive squares in 6 ways, for example, as 39910450176 + 40629658624 = 199776^2 + 201568^2 .

It is not an unprimeable number, because it can be changed into a prime (80540108801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4958292 + ... + 4974508.

Almost surely, 280540108800 is an apocalyptic number.

80540108800 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 80540108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100880906490).

80540108800 is an abundant number, since it is smaller than the sum of its proper divisors (121221704180).

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

80540108800 is a wasteful number, since it uses less digits than its factorization.

80540108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16346 (or 16321 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The spelling of 80540108800 in words is "eighty billion, five hundred forty million, one hundred eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 128 160 194 200 256 320 388 400 485 512 640 776 800 970 1024 1280 1552 1600 1940 2048 2425 2560 3104 3200 3880 4850 5120 6208 6400 7760 9700 10240 12416 12800 15520 16217 19400 24832 25600 31040 32434 38800 49664 51200 62080 64868 77600 81085 99328 124160 129736 155200 162170 198656 248320 259472 310400 324340 405425 496640 518944 620800 648680 810850 993280 1037888 1241600 1297360 1573049 1621700 2075776 2483200 2594720 3146098 3243400 4151552 4966400 5189440 6292196 6486800 7865245 8303104 10378880 12584392 12973600 15730490 16606208 20757760 25168784 25947200 31460980 33212416 39326225 41515520 50337568 51894400 62921960 78652450 83031040 100675136 103788800 125843920 157304900 166062080 201350272 207577600 251687840 314609800 402700544 415155200 503375680 629219600 805401088 830310400 1006751360 1258439200 1610802176 2013502720 2516878400 3221604352 4027005440 5033756800 8054010880 10067513600 16108021760 20135027200 40270054400 80540108800