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5441668560 = 243355234817
BaseRepresentation
bin1010001000101100…
…10100010111010000
3112001020110101221000
411010112110113100
542121031343220
62255545502000
7251564263626
oct50426242720
915036411830
105441668560
112342753149
12107a4a1900
136894cc333
143989d1516
1521caeb390
hex1445945d0

5441668560 has 160 divisors (see below), whose sum is σ = 18783262080. Its totient is φ = 1448036352.

The previous prime is 5441668537. The next prime is 5441668579. The reversal of 5441668560 is 658661445.

It is a super-2 number, since 2×54416685602 = 59223513433784947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1127272 + ... + 1132088.

It is an arithmetic number, because the mean of its divisors is an integer number (117395388).

Almost surely, 25441668560 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 5441668560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391631040).

5441668560 is an abundant number, since it is smaller than the sum of its proper divisors (13341593520).

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

5441668560 is a wasteful number, since it uses less digits than its factorization.

5441668560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5441668560 is about 73767.6660875210. Note that the first 3 decimals coincide. The cubic root of 5441668560 is about 1758.9116635734.

The spelling of 5441668560 in words is "five billion, four hundred forty-one million, six hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 523 540 720 1046 1080 1569 2092 2160 2615 3138 4184 4707 4817 5230 6276 7845 8368 9414 9634 10460 12552 14121 14451 15690 18828 19268 20920 23535 24085 25104 28242 28902 31380 37656 38536 41840 43353 47070 48170 56484 57804 62760 70605 72255 75312 77072 86706 94140 96340 112968 115608 125520 130059 141210 144510 173412 188280 192680 216765 225936 231216 260118 282420 289020 346824 376560 385360 433530 520236 564840 578040 650295 693648 867060 1040472 1129680 1156080 1300590 1734120 2080944 2519291 2601180 3468240 5038582 5202360 7557873 10077164 10404720 12596455 15115746 20154328 22673619 25192910 30231492 37789365 40308656 45347238 50385820 60462984 68020857 75578730 90694476 100771640 113368095 120925968 136041714 151157460 181388952 201543280 226736190 272083428 302314920 340104285 362777904 453472380 544166856 604629840 680208570 906944760 1088333712 1360417140 1813889520 2720834280 5441668560