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30671288352 = 2532106497529
BaseRepresentation
bin11100100100001001…
…101011100000100000
32221011112102212212200
4130210021223200200
51000303322211402
622031252053200
72134030435515
oct344411534040
987145385780
1030671288352
111200a1629a1
125b3b904200
132b7a490a43
1416ad66b30c
15be7a2921c
hex72426b820

30671288352 has 36 divisors (see below), whose sum is σ = 87221477070. Its totient is φ = 10223762688.

The previous prime is 30671288339. The next prime is 30671288363. The reversal of 30671288352 is 25388217603.

It can be written as a sum of positive squares in only one way, i.e., 20815564176 + 9855724176 = 144276^2 + 99276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 30671288298 and 30671288307.

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 5 ways as a sum of consecutive naturals, for example, 53248477 + ... + 53249052.

Almost surely, 230671288352 is an apocalyptic number.

30671288352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30671288352 is an abundant number, since it is smaller than the sum of its proper divisors (56550188718).

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

30671288352 is a wasteful number, since it uses less digits than its factorization.

30671288352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106497545 (or 106497534 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 30671288352 in words is "thirty billion, six hundred seventy-one million, two hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 106497529 212995058 319492587 425990116 638985174 851980232 958477761 1277970348 1703960464 1916955522 2555940696 3407920928 3833911044 5111881392 7667822088 10223762784 15335644176 30671288352