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80401943605248 = 2123220871045061
BaseRepresentation
bin10010010010000000001001…
…010010011011000000000000
3101112200100110200122202210100
4102102000021102123000000
541014301140030331443
6443000050515002400
722635564054313056
oct2222001122330000
9345610420582710
1080401943605248
11236893000aa971
129026528299400
1335b2b42060925
1415bd690d321d6
1594668bca53d3
hex49200949b000

80401943605248 has 156 divisors (see below), whose sum is σ = 232355431543248. Its totient is φ = 26787780526080.

The previous prime is 80401943605241. The next prime is 80401943605303. The reversal of 80401943605248 is 84250634910408.

80401943605248 is a `hidden beast` number, since 8 + 0 + 4 + 0 + 1 + 9 + 4 + 3 + 605 + 24 + 8 = 666.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 80401943605194 and 80401943605203.

It is not an unprimeable number, because it can be changed into a prime (80401943605241) 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, 76412638 + ... + 77457698.

It is an arithmetic number, because the mean of its divisors is an integer number (1489457894508).

Almost surely, 280401943605248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80401943605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116177715771624).

80401943605248 is an abundant number, since it is smaller than the sum of its proper divisors (151953487938000).

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

80401943605248 is a wasteful number, since it uses less digits than its factorization.

80401943605248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047178 (or 1047153 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 80401943605248 in words is "eighty trillion, four hundred one billion, nine hundred forty-three million, six hundred five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2087 2304 3072 4096 4174 4608 6144 6261 8348 9216 12288 12522 16696 18432 18783 25044 33392 36864 37566 50088 66784 75132 100176 133568 150264 200352 267136 300528 400704 534272 601056 801408 1045061 1068544 1202112 1602816 2090122 2137088 2404224 3135183 3205632 4180244 4274176 4808448 6270366 6411264 8360488 8548352 9405549 9616896 12540732 12822528 16720976 18811098 19233792 25081464 25645056 33441952 37622196 38467584 50162928 66883904 75244392 76935168 100325856 133767808 150488784 200651712 267535616 300977568 401303424 535071232 601955136 802606848 1070142464 1203910272 1605213696 2140284928 2181042307 2407820544 3210427392 4280569856 4362084614 4815641088 6420854784 6543126921 8724169228 9631282176 12841709568 13086253842 17448338456 19262564352 19629380763 26172507684 34896676912 38525128704 39258761526 52345015368 69793353824 78517523052 104690030736 139586707648 157035046104 209380061472 279173415296 314070092208 418760122944 558346830592 628140184416 837520245888 1116693661184 1256280368832 1675040491776 2233387322368 2512560737664 3350080983552 4466774644736 5025121475328 6700161967104 8933549289472 10050242950656 13400323934208 20100485901312 26800647868416 40200971802624 80401943605248