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30083514916 = 22721329532
BaseRepresentation
bin11100000001000111…
…100000001000100100
32212122120102220022011
4130001013200020210
5443102334434131
621453054044004
72113332441400
oct340107401044
985576386264
1030083514916
11118383a6024
1259b6aa9604
132ab5786300
141655588100
15bb11240b1
hex7011e0224

30083514916 has 81 divisors (see below), whose sum is σ = 66384354771. Its totient is φ = 11888682624.

The previous prime is 30083514859. The next prime is 30083514949. The reversal of 30083514916 is 61941538003.

The square root of 30083514916 is 173446.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6281196516 + 23802318400 = 79254^2 + 154280^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31566696 + ... + 31567648.

Almost surely, 230083514916 is an apocalyptic number.

30083514916 is the 173446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30083514916

30083514916 is an abundant number, since it is smaller than the sum of its proper divisors (36300839855).

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

30083514916 is an equidigital number, since it uses as much as digits as its factorization.

30083514916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 30083514916 in words is "thirty billion, eighty-three million, five hundred fourteen thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 953 1183 1274 1906 2366 2548 3812 4732 6671 8281 12389 13342 16562 24778 26684 33124 46697 49556 86723 93394 161057 173446 186788 322114 346892 607061 644228 908209 1127399 1214122 1816418 2254798 2428244 3632836 4509596 6357463 7891793 11806717 12714926 15783586 23613434 25429852 31567172 44502241 47226868 82647019 89004482 153487321 165294038 178008964 306974642 330588076 578529133 613949284 1074411247 1157058266 2148822494 2314116532 4297644988 7520878729 15041757458 30083514916