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345472421646 = 2311193167713127
BaseRepresentation
bin1010000011011111100…
…00101100111100001110
31020000201120022101110210
411001233300230330032
521130011414443041
6422412520543250
733650062063242
oct5015760547416
91200646271423
10345472421646
111235721a2760
1256b56021b26
132676888a191
1412a14428422
158ebe819016
hex506fc2cf0e

345472421646 has 128 divisors (see below), whose sum is σ = 820296253440. Its totient is φ = 95830300800.

The previous prime is 345472421621. The next prime is 345472421659. The reversal of 345472421646 is 646124274543.

It is a junction number, because it is equal to n+sod(n) for n = 345472421595 and 345472421604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26311135 + ... + 26324261.

It is an arithmetic number, because the mean of its divisors is an integer number (6408564480).

Almost surely, 2345472421646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345472421646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410148126720).

345472421646 is an abundant number, since it is smaller than the sum of its proper divisors (474823831794).

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

345472421646 is a wasteful number, since it uses less digits than its factorization.

345472421646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13870.

The product of its digits is 3870720, while the sum is 48.

The spelling of 345472421646 in words is "three hundred forty-five billion, four hundred seventy-two million, four hundred twenty-one thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 589 627 677 682 1023 1178 1254 1354 1767 2031 2046 3534 4062 6479 7447 12863 12958 13127 14894 19437 20987 22341 25726 26254 38589 38874 39381 41974 44682 62961 77178 78762 125922 141493 144397 230857 249413 282986 288794 398753 406937 424479 433191 461714 498826 692571 748239 797506 813874 848958 866382 1196259 1220811 1385142 1496478 2392518 2441622 2743543 4386283 4476307 5487086 7731803 8230629 8772566 8886979 8952614 13158849 13428921 15463606 16461258 17773958 23195409 26317698 26660937 26857842 46390818 53321874 85049833 97756769 168852601 170099666 195513538 255149499 275496349 293270307 337705202 506557803 510298998 550992698 586540614 826489047 1013115606 1652978094 1857378611 3030459839 3714757222 5234430631 5572135833 6060919678 9091379517 10468861262 11144271666 15703291893 18182759034 31406583786 57578736941 115157473882 172736210823 345472421646