Search a number
-
+
4545730333100 = 225211191427152417
BaseRepresentation
bin100001000100110001010…
…1001000100100110101100
3121002120022202121000220102
41002021202221010212230
51043434123431124400
613400140225010232
7646263302205665
oct102114251044654
917076282530812
104545730333100
1114a29192a2190
12614baba83978
1326c8782574b8
1411a02bbc436c
157d3a16e19d5
hex42262a449ac

4545730333100 has 144 divisors (see below), whose sum is σ = 11335363240320. Its totient is φ = 1564885555200.

The previous prime is 4545730333097. The next prime is 4545730333153. The reversal of 4545730333100 is 13330375454.

It is a super-2 number, since 2×45457303331002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29748092 + ... + 29900508.

It is an arithmetic number, because the mean of its divisors is an integer number (78717800280).

Almost surely, 24545730333100 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 4545730333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667681620160).

4545730333100 is an abundant number, since it is smaller than the sum of its proper divisors (6789632907220).

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

4545730333100 is a wasteful number, since it uses less digits than its factorization.

4545730333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153888 (or 153881 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 38.

The spelling of 4545730333100 in words is "four trillion, five hundred forty-five billion, seven hundred thirty million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1427 1900 2090 2854 4180 5225 5708 7135 10450 14270 15697 20900 27113 28540 31394 35675 54226 62788 71350 78485 108452 135565 142700 152417 156970 271130 298243 304834 313940 392425 542260 596486 609668 677825 762085 784850 1192972 1355650 1491215 1524170 1569700 1676587 2711300 2895923 2982430 3048340 3353174 3810425 5791846 5964860 6706348 7456075 7620850 8382935 11583692 14479615 14912150 15241700 16765870 28959230 29824300 31855153 33531740 41914675 57918460 63710306 72398075 83829350 127420612 144796150 159275765 167658700 217499059 289592300 318551530 434998118 637103060 796378825 869996236 1087495295 1592757650 2174990590 2392489649 3185515300 4132482121 4349981180 4784979298 5437476475 8264964242 9569958596 10874952950 11962448245 16529928484 20662410605 21749905900 23924896490 41324821210 45457303331 47849792980 59812241225 82649642420 90914606662 103312053025 119624482450 181829213324 206624106050 227286516655 239248964900 413248212100 454573033310 909146066620 1136432583275 2272865166550 4545730333100