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30631476816 = 2432719329573
BaseRepresentation
bin11100100001110001…
…110011111001010000
32221001202112020201100
4130201301303321100
51000213124224231
622023310504400
72133035154063
oct344161637120
987052466640
1030631476816
1111a997409a6
125b2a505100
132b72161c15
1416a82668da
15be42b31e6
hex721c73e50

30631476816 has 60 divisors (see below), whose sum is σ = 85740408468. Its totient is φ = 10208727552.

The previous prime is 30631476793. The next prime is 30631476823. The reversal of 30631476816 is 61867413603.

30631476816 is a `hidden beast` number, since 3 + 0 + 631 + 4 + 7 + 6 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2877249600 + 27754227216 = 53640^2 + 166596^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1021006 + ... + 1050578.

Almost surely, 230631476816 is an apocalyptic number.

30631476816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30631476816 is an abundant number, since it is smaller than the sum of its proper divisors (55108931652).

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

30631476816 is a wasteful number, since it uses less digits than its factorization.

30631476816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36780 (or 36771 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 30631476816 in words is "thirty billion, six hundred thirty-one million, four hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7193 14386 21579 28772 29573 43158 57544 59146 64737 86316 88719 115088 118292 129474 172632 177438 236584 258948 266157 345264 354876 473168 517896 532314 709752 1035792 1064628 1419504 2129256 4258512 212718589 425437178 638155767 850874356 1276311534 1701748712 1914467301 2552623068 3403497424 3828934602 5105246136 7657869204 10210492272 15315738408 30631476816