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164017207080 = 233253637125269
BaseRepresentation
bin1001100011000000101…
…1111111011100101000
3120200100122022102010100
42120300023333130220
510141401401111310
6203203133545400
714564333154126
oct2306013773450
9520318272110
10164017207080
116361748a311
1227955045260
131260b60442c
147d1d266916
1543ee4b0ec0
hex26302ff728

164017207080 has 96 divisors (see below), whose sum is σ = 533206744200. Its totient is φ = 43725547008.

The previous prime is 164017207031. The next prime is 164017207097. The reversal of 164017207080 is 80702710461.

164017207080 is a `hidden beast` number, since 1 + 640 + 1 + 7 + 2 + 0 + 7 + 0 + 8 + 0 = 666.

164017207080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98737979076 + 65279228004 = 314226^2 + 255498^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1246686 + ... + 1371954.

Almost surely, 2164017207080 is an apocalyptic number.

164017207080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164017207080 is an abundant number, since it is smaller than the sum of its proper divisors (369189537120).

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

164017207080 is a wasteful number, since it uses less digits than its factorization.

164017207080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128923 (or 128916 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 164017207080 in words is "one hundred sixty-four billion, seventeen million, two hundred seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3637 7274 10911 14548 18185 21822 29096 32733 36370 43644 54555 65466 72740 87288 109110 125269 130932 145480 163665 218220 250538 261864 327330 375807 436440 501076 626345 654660 751614 1002152 1127421 1252690 1309320 1503228 1879035 2254842 2505380 3006456 3758070 4509684 5010760 5637105 7516140 9019368 11274210 15032280 22548420 45096840 455603353 911206706 1366810059 1822413412 2278016765 2733620118 3644826824 4100430177 4556033530 5467240236 6834050295 8200860354 9112067060 10934480472 13668100590 16401720708 18224134120 20502150885 27336201180 32803441416 41004301770 54672402360 82008603540 164017207080