Search a number
-
+
47875877574 = 237418232
BaseRepresentation
bin101100100101100111…
…111110101011000110
311120120112220120102220
4230211213332223012
51241022211040244
633554402113210
73313260150000
oct544547765306
9146515816386
1047875877574
1119338759478
12934164b806
13468c987255
1424625a5370
1513a3165319
hexb259feac6

47875877574 has 60 divisors (see below), whose sum is σ = 111765042636. Its totient is φ = 13671318696.

The previous prime is 47875877573. The next prime is 47875877611. The reversal of 47875877574 is 47577857874.

It is a super-2 number, since 2×478758775742 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 47875877499 and 47875877508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47875877573) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 26261227 + ... + 26263049.

Almost surely, 247875877574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47875877574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55882521318).

47875877574 is an abundant number, since it is smaller than the sum of its proper divisors (63889165062).

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

47875877574 is an frugal number, since it uses more digits than its factorization.

47875877574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 1835 counting only the distinct ones).

The product of its digits is 430259200, while the sum is 69.

The spelling of 47875877574 in words is "forty-seven billion, eight hundred seventy-five million, eight hundred seventy-seven thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 1823 2058 2401 3646 4802 5469 7203 10938 12761 14406 25522 38283 76566 89327 178654 267981 535962 625289 1250578 1875867 3323329 3751734 4377023 6646658 8754046 9969987 13131069 19939974 23263303 26262138 46526606 69789909 139579818 162843121 325686242 488529363 977058726 1139901847 2279803694 3419705541 6839411082 7979312929 15958625858 23937938787 47875877574