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6419589373140 = 22351272081404837
BaseRepresentation
bin101110101101010110101…
…0110000001110011010100
3211201201002012222011222120
41131122231112001303110
51320134304334420030
621353041343255540
71231541260224216
oct135325526016324
924651065864876
106419589373140
11205559492a829
128781ab5aa5b0
13377498283498
141829d19085b6
15b1ec553a010
hex5d6ad581cd4

6419589373140 has 96 divisors (see below), whose sum is σ = 18125134884864. Its totient is φ = 1697590702080.

The previous prime is 6419589373009. The next prime is 6419589373201. The reversal of 6419589373140 is 413739859146.

It is a super-2 number, since 2×64195893731402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 15654802 + ... + 16059638.

It is an arithmetic number, because the mean of its divisors is an integer number (188803488384).

Almost surely, 26419589373140 is an apocalyptic number.

6419589373140 is a gapful number since it is divisible by the number (60) 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 6419589373140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9062567442432).

6419589373140 is an abundant number, since it is smaller than the sum of its proper divisors (11705545511724).

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

6419589373140 is a wasteful number, since it uses less digits than its factorization.

6419589373140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407057 (or 407055 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 6419589373140 in words is "six trillion, four hundred nineteen billion, five hundred eighty-nine million, three hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2081 2540 3810 4162 6243 7620 8324 10405 12486 20810 24972 31215 41620 62430 124860 264287 404837 528574 792861 809674 1057148 1214511 1321435 1585722 1619348 2024185 2429022 2642870 3171444 3964305 4048370 4858044 5285740 6072555 7928610 8096740 12145110 15857220 24290220 51414299 102828598 154242897 205657196 257071495 308485794 514142990 616971588 771214485 842465797 1028285980 1542428970 1684931594 2527397391 3084857940 3369863188 4212328985 5054794782 8424657970 10109589564 12636986955 16849315940 25273973910 50547947820 106993156219 213986312438 320979468657 427972624876 534965781095 641958937314 1069931562190 1283917874628 1604897343285 2139863124380 3209794686570 6419589373140