Search a number
-
+
47205106648 = 2379754715887
BaseRepresentation
bin101011111101101001…
…001100001111011000
311111211210201212201021
4223331221030033120
51233134001403043
633404041132224
73260533533430
oct537551141730
9144753655637
1047205106648
1119024063337
129194a8a074
1345b3a0cc8b
1423db4792c0
1513643183ed
hexafda4c3d8

47205106648 has 64 divisors (see below), whose sum is σ = 102389898240. Its totient is φ = 19984333824.

The previous prime is 47205106639. The next prime is 47205106667. The reversal of 47205106648 is 84660150274.

It is a congruent number.

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, 2963361 + ... + 2979247.

It is an arithmetic number, because the mean of its divisors is an integer number (1599842160).

Almost surely, 247205106648 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 47205106648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51194949120).

47205106648 is an abundant number, since it is smaller than the sum of its proper divisors (55184791592).

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

47205106648 is a wasteful number, since it uses less digits than its factorization.

47205106648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16544 (or 16540 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 47205106648 in words is "forty-seven billion, two hundred five million, one hundred six thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 56 97 194 388 547 679 776 1094 1358 2188 2716 3829 4376 5432 7658 15316 15887 30632 31774 53059 63548 106118 111209 127096 212236 222418 371413 424472 444836 742826 889672 1485652 1541039 2971304 3082078 6164156 8690189 10787273 12328312 17380378 21574546 34760756 43149092 60831323 69521512 86298184 121662646 243325292 486650584 842948333 1685896666 3371793332 5900638331 6743586664 11801276662 23602553324 47205106648