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87233410404 = 2235729634327
BaseRepresentation
bin101000100111110000…
…1000011010101100100
322100011110001101200000
41101033201003111210
52412123223113104
6104024030421300
76205503516450
oct1211741032544
9270143041600
1087233410404
1133aa4a93408
1214aa6361830
1382c28c240a
1443176d3660
152408541639
hex144f843564

87233410404 has 144 divisors (see below), whose sum is σ = 261489865728. Its totient is φ = 24909661728.

The previous prime is 87233410403. The next prime is 87233410421. The reversal of 87233410404 is 40401433278.

87233410404 is a `hidden beast` number, since 8 + 7 + 233 + 4 + 10 + 404 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (87233410403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20158089 + ... + 20162415.

Almost surely, 287233410404 is an apocalyptic number.

87233410404 is a gapful number since it is divisible by the number (84) 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 87233410404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130744932864).

87233410404 is an abundant number, since it is smaller than the sum of its proper divisors (174256455324).

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

87233410404 is a wasteful number, since it uses less digits than its factorization.

87233410404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7316 (or 7302 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 87233410404 in words is "eighty-seven billion, two hundred thirty-three million, four hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 2963 3402 4327 5926 6804 8654 8889 11852 12981 17308 17778 20741 25962 26667 30289 35556 38943 41482 51924 53334 60578 62223 77886 80001 82964 90867 106668 116829 121156 124446 155772 160002 181734 186669 233658 240003 248892 272601 320004 350487 363468 373338 467316 480006 545202 560007 700974 720009 746676 817803 960012 1051461 1090404 1120014 1401948 1440018 1635606 1680021 2102922 2240028 2453409 2880036 3271212 3360042 4205844 4906818 5040063 6720084 7360227 9813636 10080126 12820901 14720454 20160252 25641802 29440908 38462703 51283604 76925406 89746307 115388109 153850812 179492614 230776218 269238921 346164327 358985228 461552436 538477842 692328654 807716763 1038492981 1076955684 1384657308 1615433526 2076985962 2423150289 3115478943 3230867052 4153971924 4846300578 6230957886 7269450867 9692601156 12461915772 14538901734 21808352601 29077803468 43616705202 87233410404