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80771316400 = 24522775991217
BaseRepresentation
bin100101100111001011…
…0000111101010110000
321201111002111000012001
41023032112013222300
52310404424111100
6101034505343344
75556405601315
oct1131626075260
9251432430161
1080771316400
1131289336555
12137a2197b54
137802b83c58
143ca3398d0c
15217b07bd6a
hex12ce587ab0

80771316400 has 120 divisors (see below), whose sum is σ = 195239066400. Its totient is φ = 32111738880.

The previous prime is 80771316391. The next prime is 80771316413. The reversal of 80771316400 is 461317708.

It is a self number, because there is not a number n which added to its sum of digits gives 80771316400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66368592 + ... + 66369808.

It is an arithmetic number, because the mean of its divisors is an integer number (1626992220).

Almost surely, 280771316400 is an apocalyptic number.

80771316400 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 80771316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97619533200).

80771316400 is an abundant number, since it is smaller than the sum of its proper divisors (114467750000).

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

80771316400 is a wasteful number, since it uses less digits than its factorization.

80771316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 80771316400 in words is "eighty billion, seven hundred seventy-one million, three hundred sixteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 277 400 554 599 1108 1198 1217 1385 2216 2396 2434 2770 2995 4432 4792 4868 5540 5990 6085 6925 9584 9736 11080 11980 12170 13850 14975 19472 22160 23960 24340 27700 29950 30425 47920 48680 55400 59900 60850 97360 110800 119800 121700 165923 239600 243400 331846 337109 486800 663692 674218 728983 829615 1327384 1348436 1457966 1659230 1685545 2654768 2696872 2915932 3318460 3371090 3644915 4148075 5393744 5831864 6636920 6742180 7289830 8296150 8427725 11663728 13273840 13484360 14579660 16592300 16855450 18224575 26968720 29159320 33184600 33710900 36449150 58318640 66369200 67421800 72898300 134843600 145796600 201928291 291593200 403856582 807713164 1009641455 1615426328 2019282910 3230852656 4038565820 5048207275 8077131640 10096414550 16154263280 20192829100 40385658200 80771316400