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5405079853840 = 245319725787427
BaseRepresentation
bin100111010100111011111…
…0111010101101100010000
3201010201110022022210211211
41032221313313111230100
51202024100420310330
615255020455345504
71065334626464512
oct116516767255420
921121408283754
105405079853840
1117a4310738277
1273365a382294
13302909c6cb84
14149870475bb2
15958ea096d2a
hex4ea77dd5b10

5405079853840 has 160 divisors (see below), whose sum is σ = 13157071893504. Its totient is φ = 2062638120960.

The previous prime is 5405079853807. The next prime is 5405079853843. The reversal of 5405079853840 is 483589705045.

It is not an unprimeable number, because it can be changed into a prime (5405079853843) 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, 61780207 + ... + 61867633.

Almost surely, 25405079853840 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 5405079853840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578535946752).

5405079853840 is an abundant number, since it is smaller than the sum of its proper divisors (7751992039664).

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

5405079853840 is a wasteful number, since it uses less digits than its factorization.

5405079853840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87825 (or 87819 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 58.

The spelling of 5405079853840 in words is "five trillion, four hundred five billion, seventy-nine million, eight hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 97 124 155 194 248 257 310 388 485 496 514 620 776 970 1028 1240 1285 1552 1940 2056 2480 2570 3007 3880 4112 5140 6014 7760 7967 10280 12028 15035 15934 20560 24056 24929 30070 31868 39835 48112 49858 60140 63736 79670 87427 99716 120280 124645 127472 159340 174854 199432 240560 249290 318680 349708 398864 437135 498580 637360 699416 772799 874270 997160 1398832 1545598 1748540 1994320 2710237 3091196 3497080 3863995 5420474 6182392 6994160 7727990 8480419 10840948 12364784 13551185 15455980 16960838 21681896 22468739 27102370 30911960 33921676 42402095 43363792 44937478 54204740 61823920 67843352 84804190 89874956 108409480 112343695 135686704 169608380 179749912 216818960 224687390 262892989 339216760 359499824 449374780 525785978 678433520 696530909 898749560 1051571956 1314464945 1393061818 1797499120 2103143912 2179467683 2628929890 2786123636 3482654545 4206287824 4358935366 5257859780 5572247272 6965309090 8717870732 10515719560 10897338415 11144494544 13930618180 17435741464 21031439120 21794676830 27861236360 34871482928 43589353660 55722472720 67563498173 87178707320 135126996346 174357414640 270253992692 337817490865 540507985384 675634981730 1081015970768 1351269963460 2702539926920 5405079853840