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801254030080 = 2857151592223
BaseRepresentation
bin10111010100011100111…
…01100011101100000000
32211121011202211001212011
423222032131203230000
5101111432012430310
61412031354342304
7111613551611260
oct13521635435400
92747152731764
10801254030080
112898a0014099
1210b35642a994
135a733a0a6ca
142aad0b1b7a0
1515c9845178a
hexba8e763b00

801254030080 has 144 divisors (see below), whose sum is σ = 2207962681344. Its totient is φ = 272895897600.

The previous prime is 801254030069. The next prime is 801254030141. The reversal of 801254030080 is 80030452108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056849 + ... + 1649071.

It is an arithmetic number, because the mean of its divisors is an integer number (15333074176).

Almost surely, 2801254030080 is an apocalyptic number.

801254030080 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 801254030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103981340672).

801254030080 is an abundant number, since it is smaller than the sum of its proper divisors (1406708651264).

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

801254030080 is a wasteful number, since it uses less digits than its factorization.

801254030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592402 (or 592388 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 801254030080 its reverse (80030452108), we get a palindrome (881284482188).

The spelling of 801254030080 in words is "eight hundred one billion, two hundred fifty-four million, thirty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 151 160 224 256 280 302 320 448 560 604 640 755 896 1057 1120 1208 1280 1510 1792 2114 2240 2416 3020 4228 4480 4832 5285 6040 8456 8960 9664 10570 12080 16912 19328 21140 24160 33824 38656 42280 48320 67648 84560 96640 135296 169120 193280 270592 338240 592223 676480 1184446 1352960 2368892 2961115 4145561 4737784 5922230 8291122 9475568 11844460 16582244 18951136 20727805 23688920 33164488 37902272 41455610 47377840 66328976 75804544 82911220 89425673 94755680 132657952 151609088 165822440 178851346 189511360 265315904 331644880 357702692 379022720 447128365 530631808 625979711 663289760 715405384 758045440 894256730 1061263616 1251959422 1326579520 1430810768 1788513460 2503918844 2653159040 2861621536 3129898555 3577026920 5007837688 5306318080 5723243072 6259797110 7154053840 10015675376 11446486144 12519594220 14308107680 20031350752 22892972288 25039188440 28616215360 40062701504 50078376880 57232430720 80125403008 100156753760 114464861440 160250806016 200313507520 400627015040 801254030080