Search a number
-
+
47286682415328 = 253492569608493
BaseRepresentation
bin10101100000001110010011…
…11010000111000011100000
320012102120012012102121201010
422300013021322013003200
522144221111144242303
6244323111344540520
712650231033453046
oct1260071172070340
9205376165377633
1047286682415328
111408119550a194
125378586321740
132050165906275
14b9698ac58396
1557007d843c03
hex2b01c9e870e0

47286682415328 has 24 divisors (see below), whose sum is σ = 124127541340488. Its totient is φ = 15762227471744.

The previous prime is 47286682415303. The next prime is 47286682415359. The reversal of 47286682415328 is 82351428668274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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 3 ways as a sum of consecutive naturals, for example, 246284804151 + ... + 246284804342.

It is an arithmetic number, because the mean of its divisors is an integer number (5171980889187).

Almost surely, 247286682415328 is an apocalyptic number.

47286682415328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47286682415328 is an abundant number, since it is smaller than the sum of its proper divisors (76840858925160).

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

47286682415328 is a wasteful number, since it uses less digits than its factorization.

47286682415328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492569608506 (or 492569608498 counting only the distinct ones).

The product of its digits is 247726080, while the sum is 66.

The spelling of 47286682415328 in words is "forty-seven trillion, two hundred eighty-six billion, six hundred eighty-two million, four hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 492569608493 985139216986 1477708825479 1970278433972 2955417650958 3940556867944 5910835301916 7881113735888 11821670603832 15762227471776 23643341207664 47286682415328