Search a number
-
+
5203746768 = 24311711271093
BaseRepresentation
bin1001101100010101…
…01101111111010000
3111102122202201120210
410312022231333100
541124124344033
62220210204120
7242645055243
oct46612557720
914378681523
105203746768
112230419a70
121012883640
1364c1283cc
1437517b25a
15206ca0d63
hex1362adfd0

5203746768 has 160 divisors (see below), whose sum is σ = 15002468352. Its totient is φ = 1541030400.

The previous prime is 5203746731. The next prime is 5203746787. The reversal of 5203746768 is 8676473025.

It is a Cunningham number, because it is equal to 721372-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4760430 + ... + 4761522.

Almost surely, 25203746768 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 5203746768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7501234176).

5203746768 is an abundant number, since it is smaller than the sum of its proper divisors (9798721584).

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

5203746768 is a wasteful number, since it uses less digits than its factorization.

5203746768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 5203746768 is about 72136.9999930687. Note that the first 5 decimals coincide. The cubic root of 5203746768 is about 1732.8942129578.

The spelling of 5203746768 in words is "five billion, two hundred three million, seven hundred forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 127 132 142 176 213 254 264 284 381 426 508 528 568 762 781 852 1016 1093 1136 1397 1524 1562 1704 2032 2186 2343 2794 3048 3124 3279 3408 4191 4372 4686 5588 6096 6248 6558 8382 8744 9017 9372 11176 12023 12496 13116 16764 17488 18034 18744 22352 24046 26232 27051 33528 36068 36069 37488 48092 52464 54102 67056 72136 72138 77603 96184 99187 108204 138811 144272 144276 155206 192368 198374 216408 232809 277622 288552 297561 310412 396748 416433 432816 465618 555244 577104 595122 620824 793496 832866 853633 931236 1110488 1190244 1241648 1526921 1586992 1665732 1707266 1862472 2220976 2380488 2560899 3053842 3331464 3414532 3724944 4580763 4760976 5121798 6107684 6662928 6829064 9161526 9855581 10243596 12215368 13658128 18323052 19711162 20487192 24430736 29566743 36646104 39422324 40974384 59133486 73292208 78844648 108411391 118266972 157689296 216822782 236533944 325234173 433645564 473067888 650468346 867291128 1300936692 1734582256 2601873384 5203746768