Search a number
-
+
5358724971664 = 24557210392
BaseRepresentation
bin100110111111010110011…
…1001011111110010010000
3200222021210202102210211211
41031332230321133302100
51200244132043043124
615221433025345504
71062104125465441
oct115765471376220
920867722383754
105358724971664
1117866935aa199
12726682198294
132cb4304493cc
14147513cbb2c8
15945d5726e94
hex4dface5fc90

5358724971664 has 45 divisors (see below), whose sum is σ = 10411223604537. Its totient is φ = 2671977980352.

The previous prime is 5358724971601. The next prime is 5358724971697. The reversal of 5358724971664 is 4661794278535.

The square root of 5358724971664 is 2314892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 470239347600 + 4888485624064 = 685740^2 + 2210992^2 .

It is a Duffinian number.

Its product of digits (304819200) is a multiple of the sum of its prime factors (3200).

It is a self number, because there is not a number n which added to its sum of digits gives 5358724971664.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5157578857 + ... + 5157579895.

Almost surely, 25358724971664 is an apocalyptic number.

5358724971664 is the 2314892-nd square number.

It is an amenable number.

5358724971664 is a deficient number, since it is larger than the sum of its proper divisors (5052498632873).

5358724971664 is an frugal number, since it uses more digits than its factorization.

5358724971664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 1598 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 67.

The spelling of 5358724971664 in words is "five trillion, three hundred fifty-eight billion, seven hundred twenty-four million, nine hundred seventy-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 557 1039 1114 2078 2228 4156 4456 8312 8912 16624 310249 578723 620498 1079521 1157446 1240996 2159042 2314892 2481992 4318084 4629784 4963984 8636168 9259568 17272336 322348711 601293197 644697422 1202586394 1289394844 2405172788 2578789688 4810345576 5157579376 9620691152 334920310729 669840621458 1339681242916 2679362485832 5358724971664