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80326896400 = 24523723832
BaseRepresentation
bin100101011001111011…
…0110010101100010000
321200100010020010120001
41022303312302230100
52304002141141100
6100522432055344
75542401232222
oct1126366625420
9250303203501
1080326896400
11310804911a3
1213699394554
137761a8c03a
143c60350412
152152041d6a
hex12b3db2b10

80326896400 has 135 divisors (see below), whose sum is σ = 198861374271. Its totient is φ = 31180734720.

The previous prime is 80326896389. The next prime is 80326896421. The reversal of 80326896400 is 469862308.

It is a happy number.

The square root of 80326896400 is 283420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7625480976 + 72701415424 = 87324^2 + 269632^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 209730609 + ... + 209730991.

Almost surely, 280326896400 is an apocalyptic number.

80326896400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80326896400 is the 283420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80326896400

80326896400 is an abundant number, since it is smaller than the sum of its proper divisors (118534477871).

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

80326896400 is an equidigital number, since it uses as much as digits as its factorization.

80326896400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 80326896400 in words is "eighty billion, three hundred twenty-six million, eight hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 383 400 592 740 766 925 1369 1480 1532 1850 1915 2738 2960 3064 3700 3830 5476 6128 6845 7400 7660 9575 10952 13690 14171 14800 15320 19150 21904 27380 28342 30640 34225 38300 54760 56684 68450 70855 76600 109520 113368 136900 141710 146689 153200 226736 273800 283420 293378 354275 524327 547600 566840 586756 708550 733445 1048654 1133680 1173512 1417100 1466890 2097308 2347024 2621635 2834200 2933780 3667225 4194616 5243270 5427493 5668400 5867560 7334450 8389232 10486540 10854986 11735120 13108175 14668900 20973080 21709972 26216350 27137465 29337800 41946160 43419944 52432700 54274930 58675600 86839888 104865400 108549860 135687325 200817241 209730800 217099720 271374650 401634482 434199440 542749300 803268964 1004086205 1085498600 1606537928 2008172410 2170997200 3213075856 4016344820 5020431025 8032689640 10040862050 16065379280 20081724100 40163448200 80326896400