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80270489984400 = 2432521493232
BaseRepresentation
bin10010010000000101101110…
…000010101001110110010000
3101112012210011110110221020100
4102100011232002221312100
541010122430414000100
6442415430511412400
722623231400055052
oct2220055602516620
9345183143427210
1080270489984400
1123638583a489a1
129004b60824100
1335a3622c85121
1415b71807978d2
15943046509400
hex49016e0a9d90

80270489984400 has 135 divisors (see below), whose sum is σ = 278562763108929. Its totient is φ = 21405320645760.

The previous prime is 80270489984389. The next prime is 80270489984507. The reversal of 80270489984400 is 448998407208.

The square root of 80270489984400 is 8959380.

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

80270489984400 is a `hidden beast` number, since 8 + 0 + 2 + 70 + 4 + 89 + 9 + 84 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28897376394384 + 51373113590016 = 5375628^2 + 7167504^2 .

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, 537488139 + ... + 537637461.

Almost surely, 280270489984400 is an apocalyptic number.

80270489984400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80270489984400 is the 8959380-th square number.

It is an amenable number.

80270489984400 is an abundant number, since it is smaller than the sum of its proper divisors (198292273124529).

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

80270489984400 is an frugal number, since it uses more digits than its factorization.

80270489984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298670 (or 149333 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 80270489984400 in words is "eighty trillion, two hundred seventy billion, four hundred eighty-nine million, nine hundred eighty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 149323 298646 447969 597292 746615 895938 1194584 1343907 1493230 1791876 2239845 2389168 2687814 2986460 3583752 3733075 4479690 5375628 5972920 6719535 7167504 7466150 8959380 10751256 11199225 11945840 13439070 14932300 17918760 21502512 22398450 26878140 29864600 33597675 35837520 44796900 53756280 59729200 67195350 89593800 107512560 134390700 179187600 268781400 537562800 22297358329 44594716658 66892074987 89189433316 111486791645 133784149974 178378866632 200676224961 222973583290 267568299948 334460374935 356757733264 401352449922 445947166580 535136599896 557433958225 668920749870 802704899844 891894333160 1003381124805 1070273199792 1114867916450 1337841499740 1605409799688 1672301874675 1783788666320 2006762249610 2229735832900 2675682999480 3210819599376 3344603749350 4013524499220 4459471665800 5016905624025 5351365998960 6689207498700 8027048998440 8918943331600 10033811248050 13378414997400 16054097996880 20067622496100 26756829994800 40135244992200 80270489984400