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87083225190 = 23251382989783
BaseRepresentation
bin101000100011010010…
…0001001000001100110
322022202222110012021200
41101012210021001212
52411321301201230
6104001103423330
76202001125623
oct1210644110146
9268688405250
1087083225190
1133a28234aa5
1214a63bb4b46
13829a75a120
14430179b34a
1523ea277160
hex1446909066

87083225190 has 96 divisors (see below), whose sum is σ = 244129878720. Its totient is φ = 21409774848.

The previous prime is 87083225183. The next prime is 87083225219. The reversal of 87083225190 is 9152238078.

It is a happy number.

It is a super-2 number, since 2×870832251902 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925039 + ... + 1014821.

It is an arithmetic number, because the mean of its divisors is an integer number (2543019570).

Almost surely, 287083225190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87083225190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122064939360).

87083225190 is an abundant number, since it is smaller than the sum of its proper divisors (157046653530).

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

87083225190 is a wasteful number, since it uses less digits than its factorization.

87083225190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90638 (or 90635 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 87083225190 in words is "eighty-seven billion, eighty-three million, two hundred twenty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 829 1170 1658 2487 4145 4974 7461 8290 10777 12435 14922 21554 24870 32331 37305 53885 64662 74610 89783 96993 107770 161655 179566 193986 269349 323310 448915 484965 538698 808047 897830 969930 1167179 1346745 1616094 2334358 2693490 3501537 4040235 5835895 7003074 8080470 10504611 11671790 17507685 21009222 35015370 52523055 74430107 105046110 148860214 223290321 372150535 446580642 669870963 744301070 967591391 1116451605 1339741926 1935182782 2232903210 2902774173 3349354815 4837956955 5805548346 6698709630 8708322519 9675913910 14513870865 17416645038 29027741730 43541612595 87083225190