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47638068048 = 2432330819917
BaseRepresentation
bin101100010111011100…
…110011101101010000
311112221222102121002200
4230113130303231100
51240030321134143
633515025043200
73304341616524
oct542734635520
9145858377080
1047638068048
11192264a167a
129295a86500
13465262245c
14243cb7dd84
15138c33d1d3
hexb17733b50

47638068048 has 30 divisors (see below), whose sum is σ = 133320426954. Its totient is φ = 15879355968.

The previous prime is 47638068007. The next prime is 47638068053. The reversal of 47638068048 is 84086083674.

It can be written as a sum of positive squares in only one way, i.e., 36615587904 + 11022480144 = 191352^2 + 104988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47638067985 and 47638068003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 165409815 + ... + 165410102.

Almost surely, 247638068048 is an apocalyptic number.

47638068048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47638068048 is an abundant number, since it is smaller than the sum of its proper divisors (85682358906).

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

47638068048 is a wasteful number, since it uses less digits than its factorization.

47638068048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330819931 (or 330819922 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 47638068048 in words is "forty-seven billion, six hundred thirty-eight million, sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 330819917 661639834 992459751 1323279668 1984919502 2646559336 2977379253 3969839004 5293118672 5954758506 7939678008 11909517012 15879356016 23819034024 47638068048