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30894389824 = 2612721732
BaseRepresentation
bin11100110001011100…
…101111101001000000
32221202002020121120011
4130301130233221000
51001232430433244
622105341554304
72142406660234
oct346134575100
987662217504
1030894389824
1112114094381
125ba2575994
132bb477604c
1416d11445c4
15c0c3e8434
hex73172fa40

30894389824 has 63 divisors (see below), whose sum is σ = 62151827817. Its totient is φ = 15236976384.

The previous prime is 30894389807. The next prime is 30894389857. The reversal of 30894389824 is 42898349803.

The square root of 30894389824 is 175768.

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

It can be written as a sum of positive squares in only one way, i.e., 28103169600 + 2791220224 = 167640^2 + 52832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 178580202 + ... + 178580374.

Almost surely, 230894389824 is an apocalyptic number.

30894389824 is the 175768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30894389824

30894389824 is an abundant number, since it is smaller than the sum of its proper divisors (31257437993).

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

30894389824 is an frugal number, since it uses more digits than its factorization.

30894389824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 30894389824 in words is "thirty billion, eight hundred ninety-four million, three hundred eighty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 127 173 254 346 508 692 1016 1384 2032 2768 4064 5536 8128 11072 16129 21971 29929 32258 43942 59858 64516 87884 119716 129032 175768 239432 258064 351536 478864 516128 703072 957728 1032256 1406144 1915456 2790317 3800983 5580634 7601966 11161268 15203932 22322536 30407864 44645072 60815728 89290144 121631456 178580288 243262912 482724841 965449682 1930899364 3861798728 7723597456 15447194912 30894389824