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1485835144760 = 2353171161310463
BaseRepresentation
bin10101100111110010101…
…011010000111000111000
312021001012101221221021102
4111213302223100320320
5143320442244113020
63054325551430532
7212230244226341
oct25476253207070
95231171857242
101485835144760
11523159226a5a
121bbb6b225448
13aa162907065
1451cb431d0c8
15289b3a50475
hex159f2ad0e38

1485835144760 has 128 divisors (see below), whose sum is σ = 3502081474560. Its totient is φ = 566655398400.

The previous prime is 1485835144741. The next prime is 1485835144771. The reversal of 1485835144760 is 674415385841.

It is a junction number, because it is equal to n+sod(n) for n = 1485835144696 and 1485835144705.

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, 142003289 + ... + 142013751.

It is an arithmetic number, because the mean of its divisors is an integer number (27360011520).

Almost surely, 21485835144760 is an apocalyptic number.

1485835144760 is a gapful number since it is divisible by the number (10) 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 1485835144760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751040737280).

1485835144760 is an abundant number, since it is smaller than the sum of its proper divisors (2016246329800).

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

1485835144760 is a wasteful number, since it uses less digits than its factorization.

1485835144760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12189 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 56.

The spelling of 1485835144760 in words is "one trillion, four hundred eighty-five billion, eight hundred thirty-five million, one hundred forty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 71 124 142 155 248 284 310 355 568 620 710 1240 1420 1613 2201 2840 3226 4402 6452 8065 8804 10463 11005 12904 16130 17608 20926 22010 32260 41852 44020 50003 52315 64520 83704 88040 100006 104630 114523 200012 209260 229046 250015 324353 400024 418520 458092 500030 572615 648706 742873 916184 1000060 1145230 1297412 1485746 1621765 2000120 2290460 2594824 2971492 3243530 3550213 3714365 4580920 5942984 6487060 7100426 7428730 12974120 14200852 14857460 16876819 17751065 23029063 28401704 29714920 33753638 35502130 46058126 67507276 71004260 84384095 92116252 115145315 135014552 142008520 168768190 184232504 230290630 337536380 460581260 523181389 675072760 921162520 1046362778 1198254149 2092725556 2396508298 2615906945 4185451112 4793016596 5231813890 5991270745 9586033192 10463627780 11982541490 20927255560 23965082980 37145878619 47930165960 74291757238 148583514476 185729393095 297167028952 371458786190 742917572380 1485835144760