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85014342504 = 23347131441703
BaseRepresentation
bin100111100101100111…
…1111110101101101000
322010102210111001210000
41033023033332231220
52343102132430004
6103015520223000
76066506662650
oct1171317765550
9263383431700
1085014342504
113306641a8a3
121458716aa60
13802ac459a0
144186ad1360
152328809c39
hex13cb3feb68

85014342504 has 160 divisors (see below), whose sum is σ = 293069589120. Its totient is φ = 22421349504.

The previous prime is 85014342419. The next prime is 85014342527. The reversal of 85014342504 is 40524341058.

It is a happy number.

85014342504 is a `hidden beast` number, since 8 + 5 + 0 + 143 + 4 + 2 + 504 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 661884 + ... + 779819.

It is an arithmetic number, because the mean of its divisors is an integer number (1831684932).

Almost surely, 285014342504 is an apocalyptic number.

85014342504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85014342504 is an abundant number, since it is smaller than the sum of its proper divisors (208055246616).

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

85014342504 is a wasteful number, since it uses less digits than its factorization.

85014342504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441741 (or 1441728 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 85014342504 in words is "eighty-five billion, fourteen million, three hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 6552 7371 8424 9828 14742 19656 29484 58968 1441703 2883406 4325109 5766812 8650218 10091921 11533624 12975327 17300436 18742139 20183842 25950654 30275763 34600872 37484278 38925981 40367684 51901308 56226417 60551526 74968556 77851962 80735368 90827289 103802616 112452834 116777943 121103052 131194973 149937112 155703924 168679251 181654578 224905668 233555886 242206104 262389946 272481867 311407848 337358502 363309156 393584919 449811336 467111772 506037753 524779892 544963734 674717004 726618312 787169838 817445601 934223544 1012075506 1049559784 1089927468 1180754757 1349434008 1518113259 1574339676 1634891202 2024151012 2179854936 2361509514 3036226518 3148679352 3269782404 3542264271 4048302024 4723019028 6072453036 6539564808 7084528542 9446038056 10626792813 12144906072 14169057084 21253585626 28338114168 42507171252 85014342504