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428106013936 = 24416135330307
BaseRepresentation
bin1100011101011010001…
…10110101110011110000
31111221000102222210220221
412032231012311303300
524003230114421221
6524400313342424
742633603035416
oct6165506656360
91457012883827
10428106013936
11155616758697
126ab77a07a14
13314a74c7013
1416a12c6b2b6
15b209101541
hex63ad1b5cf0

428106013936 has 80 divisors (see below), whose sum is σ = 866090379168. Its totient is φ = 204820070400.

The previous prime is 428106013903. The next prime is 428106013957. The reversal of 428106013936 is 639310601824.

It is a junction number, because it is equal to n+sod(n) for n = 428106013892 and 428106013901.

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, 14110495 + ... + 14140801.

Almost surely, 2428106013936 is an apocalyptic number.

It is an amenable number.

428106013936 is an abundant number, since it is smaller than the sum of its proper divisors (437984365232).

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

428106013936 is a wasteful number, since it uses less digits than its factorization.

428106013936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30770 (or 30764 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 428106013936 in words is "four hundred twenty-eight billion, one hundred six million, thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 41 61 82 122 164 244 328 353 488 656 706 976 1412 2501 2824 5002 5648 10004 14473 20008 21533 28946 30307 40016 43066 57892 60614 86132 115784 121228 172264 231568 242456 344528 484912 882853 1242587 1765706 1848727 2485174 3531412 3697454 4970348 7062824 7394908 9940696 10698371 14125648 14789816 19881392 21396742 29579632 42793484 75797807 85586968 151595614 171173936 303191228 438633211 606382456 652600631 877266422 1212764912 1305201262 1754532844 2610402524 3509065688 5220805048 7018131376 10441610096 26756625871 53513251742 107026503484 214053006968 428106013936