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80671063680 = 2732514005393
BaseRepresentation
bin100101100100001011…
…1101011111010000000
321201020002211122022100
41023020113223322000
52310203243014210
6101020524510400
75554050504324
oct1131027537200
9251202748270
1080671063680
1131237792169
12137746ab400
1377b818240c
143c93d3d984
1521723775c0
hex12c85ebe80

80671063680 has 96 divisors (see below), whose sum is σ = 278567286660. Its totient is φ = 21512282112.

The previous prime is 80671063657. The next prime is 80671063691. The reversal of 80671063680 is 8636017608.

80671063680 is a `hidden beast` number, since 8 + 0 + 6 + 7 + 1 + 0 + 636 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77600130624 + 3070933056 = 278568^2 + 55416^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6996937 + ... + 7008456.

Almost surely, 280671063680 is an apocalyptic number.

80671063680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80671063680 is an abundant number, since it is smaller than the sum of its proper divisors (197896222980).

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

80671063680 is a wasteful number, since it uses less digits than its factorization.

80671063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14005418 (or 14005403 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 80671063680 in words is "eighty billion, six hundred seventy-one million, sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 14005393 28010786 42016179 56021572 70026965 84032358 112043144 126048537 140053930 168064716 210080895 224086288 252097074 280107860 336129432 420161790 448172576 504194148 560215720 630242685 672258864 840323580 896345152 1008388296 1120431440 1260485370 1344517728 1680647160 1792690304 2016776592 2240862880 2520970740 2689035456 3361294320 4033553184 4481725760 5041941480 5378070912 6722588640 8067106368 8963451520 10083882960 13445177280 16134212736 20167765920 26890354560 40335531840 80671063680