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3405386087496 = 2333411945719763
BaseRepresentation
bin110001100011100000110…
…100111111110001001000
3110001112220012201020111000
4301203200310333301020
5421243212314244441
611124225054135000
7501013433101101
oct61434064776110
913045805636430
103405386087496
1110a3241739358
1246bba0ab1460
131b9184ca9a63
14bab7053d3a8
155d8ade0a2b6
hex318e0d3fc48

3405386087496 has 128 divisors (see below), whose sum is σ = 9691111382400. Its totient is φ = 1107329679360.

The previous prime is 3405386087491. The next prime is 3405386087497. The reversal of 3405386087496 is 6947806835043.

3405386087496 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 3 + 8 + 60 + 87 + 496 = 666.

It is a super-2 number, since 2×34053860874962 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3405386087491) 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, 172301311 + ... + 172321073.

It is an arithmetic number, because the mean of its divisors is an integer number (75711807675).

Almost surely, 23405386087496 is an apocalyptic number.

3405386087496 is a gapful number since it is divisible by the number (36) 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 3405386087496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845555691200).

3405386087496 is an abundant number, since it is smaller than the sum of its proper divisors (6285725294904).

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

3405386087496 is a wasteful number, since it uses less digits than its factorization.

3405386087496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39276 (or 39266 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3405386087496 in words is "three trillion, four hundred five billion, three hundred eighty-six million, eighty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 19457 19763 38914 39526 58371 59289 77828 79052 116742 118578 155656 158104 175113 177867 233484 237156 350226 355734 466968 474312 525339 533601 700452 711468 797737 810283 1050678 1067202 1400904 1422936 1595474 1620566 2101356 2134404 2393211 2430849 3190948 3241132 4202712 4268808 4786422 4861698 6381896 6482264 7179633 7292547 9572844 9723396 14359266 14585094 19145688 19446792 21538899 21877641 28718532 29170188 43077798 43755282 57437064 58340376 86155596 87510564 172311192 175021128 384528691 769057382 1153586073 1538114764 2307172146 3076229528 3460758219 4614344292 6921516438 9228688584 10382274657 13843032876 15765676331 20764549314 27686065752 31531352662 41529098628 47297028993 63062705324 83058197256 94594057986 126125410648 141891086979 189188115972 283782173958 378376231944 425673260937 567564347916 851346521874 1135128695832 1702693043748 3405386087496