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47091792256 = 271075576173
BaseRepresentation
bin101011110110111000…
…111011100110000000
311111112220111220120221
4223312320323212000
51232420444323011
633344512312424
73254656425655
oct536670734600
9144486456527
1047091792256
1118a760a8583
129162b42714
1345963b7142
1423ca3bdc2c
1513593d3971
hexaf6e3b980

47091792256 has 64 divisors (see below), whose sum is σ = 94877833680. Its totient is φ = 23280191488.

The previous prime is 47091792247. The next prime is 47091792281. The reversal of 47091792256 is 65229719074.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 7625586 + ... + 7631758.

Almost surely, 247091792256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47091792256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47438916840).

47091792256 is an abundant number, since it is smaller than the sum of its proper divisors (47786041424).

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

47091792256 is a wasteful number, since it uses less digits than its factorization.

47091792256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 47091792256 in words is "forty-seven billion, ninety-one million, seven hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 557 856 1114 1712 2228 3424 4456 6173 6848 8912 12346 13696 17824 24692 35648 49384 59599 71296 98768 119198 197536 238396 395072 476792 660511 790144 953584 1321022 1907168 2642044 3438361 3814336 5284088 6876722 7628672 10568176 13753444 21136352 27506888 42272704 55013776 84545408 110027552 220055104 367904627 440110208 735809254 1471618508 2943237016 5886474032 11772948064 23545896128 47091792256