Search a number
-
+
6105660825328 = 2437107823117119
BaseRepresentation
bin101100011011001010110…
…1111101001111011110000
3210121200210000000121122021
41120312111233221323300
51300013343132402303
620552522445121224
71200055652465461
oct130662557517360
923550700017567
106105660825328
111a4443a3a8399
12827399559214
133539b88a250c
141717309acd68
15a8c5015debd
hex58d95be9ef0

6105660825328 has 80 divisors (see below), whose sum is σ = 12277991301120. Its totient is φ = 2938960965888.

The previous prime is 6105660825317. The next prime is 6105660825337. The reversal of 6105660825328 is 8235280665016.

It is a super-2 number, since 2×61056608253282 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52073553 + ... + 52190671.

It is an arithmetic number, because the mean of its divisors is an integer number (153474891264).

Almost surely, 26105660825328 is an apocalyptic number.

It is an amenable number.

6105660825328 is an abundant number, since it is smaller than the sum of its proper divisors (6172330475792).

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

6105660825328 is a wasteful number, since it uses less digits than its factorization.

6105660825328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118094 (or 118088 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 6105660825328 in words is "six trillion, one hundred five billion, six hundred sixty million, eight hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 37 74 107 148 214 296 428 592 823 856 1646 1712 3292 3959 6584 7918 13168 15836 30451 31672 60902 63344 88061 117119 121804 176122 234238 243608 352244 468476 487216 704488 936952 1408976 1873904 3258257 4333403 6516514 8666806 12531733 13033028 17333612 25063466 26066056 34667224 50126932 52132112 69334448 96388937 100253864 192777874 200507728 385555748 463674121 771111496 927348242 1542222992 1854696484 3566390669 3709392968 7132781338 7418785936 10313616259 14265562676 20627232518 28531125352 41254465036 57062250704 82508930072 165017860144 381603801583 763207603166 1526415206332 3052830412664 6105660825328