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47228592288 = 2532397220513
BaseRepresentation
bin101011111111000010…
…110010000010100000
311111220102221001221210
4223333002302002200
51233211004423123
633410240350120
73261240260613
oct537702620240
9144812831853
1047228592288
1119036344459
1291a0915340
1345b8843ac7
14240063017a
151366406e93
hexaff0b20a0

47228592288 has 96 divisors (see below), whose sum is σ = 130699529856. Its totient is φ = 14903083008.

The previous prime is 47228592253. The next prime is 47228592343. The reversal of 47228592288 is 88229582274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×472285922882 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103920 + ... + 324432.

It is an arithmetic number, because the mean of its divisors is an integer number (1361453436).

Almost surely, 247228592288 is an apocalyptic number.

47228592288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47228592288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65349764928).

47228592288 is an abundant number, since it is smaller than the sum of its proper divisors (83470937568).

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

47228592288 is a wasteful number, since it uses less digits than its factorization.

47228592288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220646 (or 220638 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 57.

The spelling of 47228592288 in words is "forty-seven billion, two hundred twenty-eight million, five hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 97 138 184 194 276 291 368 388 552 582 736 776 1104 1164 1552 2208 2231 2328 3104 4462 4656 6693 8924 9312 13386 17848 26772 35696 53544 71392 107088 214176 220513 441026 661539 882052 1323078 1764104 2646156 3528208 5071799 5292312 7056416 10143598 10584624 15215397 20287196 21169248 21389761 30430794 40574392 42779522 60861588 64169283 81148784 85559044 121723176 128338566 162297568 171118088 243446352 256677132 342236176 486892704 491964503 513354264 684472352 983929006 1026708528 1475893509 1967858012 2053417056 2951787018 3935716024 5903574036 7871432048 11807148072 15742864096 23614296144 47228592288