Search a number
-
+
4675733720 = 2357173131687
BaseRepresentation
bin1000101101011001…
…00000100011011000
3110001212012212211222
410112230200203120
534033441434340
62051545111212
7223604036510
oct42654404330
913055185758
104675733720
111a8a369a49
12aa5a88508
13596915858
14324db2840
151c57528b5
hex116b208d8

4675733720 has 128 divisors (see below), whose sum is σ = 13141647360. Its totient is φ = 1460090880.

The previous prime is 4675733717. The next prime is 4675733743. The reversal of 4675733720 is 273375764.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131717 + ... + 163403.

It is an arithmetic number, because the mean of its divisors is an integer number (102669120).

Almost surely, 24675733720 is an apocalyptic number.

4675733720 is a gapful number since it is divisible by the number (40) 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 4675733720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570823680).

4675733720 is an abundant number, since it is smaller than the sum of its proper divisors (8465913640).

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

4675733720 is a wasteful number, since it uses less digits than its factorization.

4675733720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31753 (or 31749 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 44.

The square root of 4675733720 is about 68379.3369374111. The cubic root of 4675733720 is about 1672.1808933731.

The spelling of 4675733720 in words is "four billion, six hundred seventy-five million, seven hundred thirty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 31 34 35 40 56 62 68 70 85 119 124 136 140 155 170 217 238 248 280 310 340 434 476 527 595 620 680 868 952 1054 1085 1190 1240 1736 2108 2170 2380 2635 3689 4216 4340 4760 5270 7378 8680 10540 14756 18445 21080 29512 31687 36890 63374 73780 126748 147560 158435 221809 253496 316870 443618 538679 633740 887236 982297 1077358 1109045 1267480 1774472 1964594 2154716 2218090 2693395 3770753 3929188 4309432 4436180 4911485 5386790 6876079 7541506 7858376 8872360 9822970 10773580 13752158 15083012 16699049 18853765 19645940 21547160 27504316 30166024 33398098 34380395 37707530 39291880 55008632 66796196 68760790 75415060 83495245 116893343 133592392 137521580 150830120 166990490 233786686 275043160 333980980 467573372 584466715 667961960 935146744 1168933430 2337866860 4675733720