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80400402303680 = 2654335831630771
BaseRepresentation
bin10010010001111110101101…
…011010110100101011000000
3101112200012111021102112112002
4102101332231122310223000
541014240010442204210
6442555233535323132
722635510630416354
oct2221765532645300
9345605437375462
1080400402303680
112368868a080218
1290261780804a8
1335b295793a574
1415bd58635b464
159465eb7ed4a5
hex491fad6b4ac0

80400402303680 has 112 divisors (see below), whose sum is σ = 195960660639744. Its totient is φ = 31403463920640.

The previous prime is 80400402303677. The next prime is 80400402303701. The reversal of 80400402303680 is 8630320400408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48486695 + ... + 50117465.

It is an arithmetic number, because the mean of its divisors is an integer number (1749648755712).

Almost surely, 280400402303680 is an apocalyptic number.

80400402303680 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 80400402303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97980330319872).

80400402303680 is an abundant number, since it is smaller than the sum of its proper divisors (115560258336064).

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

80400402303680 is a wasteful number, since it uses less digits than its factorization.

80400402303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634414 (or 1634404 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 80400402303680 in words is "eighty trillion, four hundred billion, four hundred two million, three hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 3440 3583 6880 7166 13760 14332 17915 28664 35830 57328 71660 114656 143320 154069 229312 286640 308138 573280 616276 770345 1146560 1232552 1540690 1630771 2465104 3081380 3261542 4930208 6162760 6523084 8153855 9860416 12325520 13046168 16307710 24651040 26092336 32615420 49302080 52184672 65230840 70123153 104369344 130461680 140246306 260923360 280492612 350615765 521846720 560985224 701231530 1121970448 1402463060 2243940896 2804926120 4487881792 5609852240 5843052493 11219704480 11686104986 22439408960 23372209972 29215262465 46744419944 58430524930 93488839888 116861049860 186977679776 233722099720 251251257199 373955359552 467444199440 502502514398 934888398880 1005005028796 1256256285995 1869776797760 2010010057592 2512512571990 4020020115184 5025025143980 8040040230368 10050050287960 16080080460736 20100100575920 40200201151840 80400402303680