Search a number
-
+
54830733160 = 23572322737507
BaseRepresentation
bin110011000100001010…
…101001011101101000
312020112020200211201211
4303010022221131220
51344243131430120
641104444522504
73650520353620
oct630412513550
9166466624654
1054830733160
1121287579405
12a762850434
13522a814c08
14292212d880
15165da1325a
hexcc42a9768

54830733160 has 128 divisors (see below), whose sum is σ = 147775518720. Its totient is φ = 17902063872.

The previous prime is 54830733149. The next prime is 54830733163. The reversal of 54830733160 is 6133703845.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (54830733163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1443127 + ... + 1480633.

It is an arithmetic number, because the mean of its divisors is an integer number (1154496240).

Almost surely, 254830733160 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 54830733160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73887759360).

54830733160 is an abundant number, since it is smaller than the sum of its proper divisors (92944785560).

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

54830733160 is a wasteful number, since it uses less digits than its factorization.

54830733160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37775 (or 37771 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 54830733160 in words is "fifty-four billion, eight hundred thirty million, seven hundred thirty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 227 230 280 322 454 460 644 805 908 920 1135 1288 1589 1610 1816 2270 3178 3220 4540 5221 6356 6440 7945 9080 10442 12712 15890 20884 26105 31780 36547 37507 41768 52210 63560 73094 75014 104420 146188 150028 182735 187535 208840 262549 292376 300056 365470 375070 525098 730940 750140 862661 1050196 1312745 1461880 1500280 1725322 2100392 2625490 3450644 4313305 5250980 6038627 6901288 8514089 8626610 10501960 12077254 17028178 17253220 24154508 30193135 34056356 34506440 42570445 48309016 59598623 60386270 68112712 85140890 119197246 120772540 170281780 195824047 238394492 241545080 297993115 340563560 391648094 476788984 595986230 783296188 979120235 1191972460 1370768329 1566592376 1958240470 2383944920 2741536658 3916480940 5483073316 6853841645 7832961880 10966146632 13707683290 27415366580 54830733160