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6415661340 = 223251110513083
BaseRepresentation
bin1011111100110011…
…10011100100011100
3121120010012100211200
411332121303210130
5101114402130330
62540341515500
7314662136004
oct57631634434
917503170750
106415661340
1127a2523360
1212b0712b90
137b3231a1a
1444c0cd004
15278391a60
hex17e67391c

6415661340 has 144 divisors (see below), whose sum is σ = 21257099136. Its totient is φ = 1553328000.

The previous prime is 6415661333. The next prime is 6415661341. The reversal of 6415661340 is 431665146.

It is a happy number.

6415661340 is a `hidden beast` number, since 6 + 41 + 566 + 13 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6415661295 and 6415661304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6415661341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2079439 + ... + 2082521.

It is an arithmetic number, because the mean of its divisors is an integer number (147618744).

Almost surely, 26415661340 is an apocalyptic number.

6415661340 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 6415661340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10628549568).

6415661340 is an abundant number, since it is smaller than the sum of its proper divisors (14841437796).

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

6415661340 is a wasteful number, since it uses less digits than its factorization.

6415661340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6415661340 is about 80097.8235659372. The cubic root of 6415661340 is about 1858.1487477292.

The spelling of 6415661340 in words is "six billion, four hundred fifteen million, six hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1051 1980 2102 3083 3153 4204 5255 6166 6306 9249 9459 10510 11561 12332 12612 15415 15765 18498 18918 21020 23122 27747 30830 31530 33913 34683 36996 37836 46244 46245 47295 55494 57805 61660 63060 67826 69366 92490 94590 101739 104049 110988 115610 135652 138732 138735 169565 173415 184980 189180 203478 208098 231220 277470 305217 339130 346830 406956 416196 508695 520245 554940 610434 678260 693660 1017390 1040490 1220868 1526085 2034780 2080980 3052170 3240233 6104340 6480466 9720699 12960932 16201165 19441398 29162097 32402330 35642563 38882796 48603495 58324194 64804660 71285126 97206990 106927689 116648388 142570252 145810485 178212815 194413980 213855378 291620970 320783067 356425630 427710756 534638445 583241940 641566134 712851260 1069276890 1283132268 1603915335 2138553780 3207830670 6415661340