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47860041901 = 722321012181
BaseRepresentation
bin101100100100101011…
…100100100010101101
311120112110010000222111
4230210223210202231
51241004132320101
633553034444021
73313005433600
oct544453444255
9146473100874
1047860041901
111932a822941
129338293611
134689601429
142460442337
1513a1a88251
hexb24ae48ad

47860041901 has 54 divisors (see below), whose sum is σ = 59106477066. Its totient is φ = 38636136000.

The previous prime is 47860041899. The next prime is 47860041919. The reversal of 47860041901 is 10914006874.

It can be written as a sum of positive squares in 3 ways, for example, as 17006768100 + 30853273801 = 130410^2 + 175651^2 .

It is not a de Polignac number, because 47860041901 - 21 = 47860041899 is a prime.

It is a super-2 number, since 2×478600419012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47860041001) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 264420031 + ... + 264420211.

Almost surely, 247860041901 is an apocalyptic number.

It is an amenable number.

47860041901 is a deficient number, since it is larger than the sum of its proper divisors (11246435165).

47860041901 is a wasteful number, since it uses less digits than its factorization.

47860041901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 47860041901 in words is "forty-seven billion, eight hundred sixty million, forty-one thousand, nine hundred one".

Divisors: 1 7 23 49 101 161 181 529 707 1127 1267 2323 3703 4163 4949 8869 10201 16261 18281 25921 29141 53429 71407 95749 113827 127967 203987 234623 374003 420463 499849 670243 895769 1642361 1846381 2618021 2943241 4691701 5396329 9670649 11496527 12924667 20602687 37774303 42466763 67694543 90472669 264420121 297267341 473861801 976735549 2080871387 6837148843 47860041901