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428468503154360 = 235295692137730367
BaseRepresentation
bin110000101101100001001100…
…0111011011000111010111000
32002012002012002200110012022212
41201123002120323120322320
5422130011443301414420
64115135414001434252
7156151553636044634
oct14133023073307270
92065065080405285
10428468503154360
11114583520975019
124008009693b988
1315510539052026
1477b3db41dbdc4
1534806b080e3c5
hex185b098ed8eb8

428468503154360 has 128 divisors (see below), whose sum is σ = 999129733056000. Its totient is φ = 165173502541824.

The previous prime is 428468503154357. The next prime is 428468503154381. The reversal of 428468503154360 is 63451305864824.

It is a self number, because there is not a number n which added to its sum of digits gives 428468503154360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14109659897 + ... + 14109690263.

It is an arithmetic number, because the mean of its divisors is an integer number (7805701039500).

Almost surely, 2428468503154360 is an apocalyptic number.

428468503154360 is a gapful number since it is divisible by the number (40) 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 428468503154360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499564866528000).

428468503154360 is an abundant number, since it is smaller than the sum of its proper divisors (570661229901640).

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

428468503154360 is a wasteful number, since it uses less digits than its factorization.

428468503154360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52353 (or 52349 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 59.

The spelling of 428468503154360 in words is "four hundred twenty-eight trillion, four hundred sixty-eight billion, five hundred three million, one hundred fifty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 569 580 1138 1160 2276 2845 4552 5690 11380 16501 21377 22760 30367 33002 42754 60734 66004 82505 85508 106885 121468 132008 151835 165010 171016 213770 242936 303670 330020 427540 607340 619933 660040 855080 880643 1214680 1239866 1761286 2479732 3099665 3522572 4403215 4959464 6199330 7045144 8806430 12163513 12398660 17278823 17612860 24327026 24797320 34557646 35225720 48654052 60817565 69115292 86394115 97308104 121635130 138230584 172788230 243270260 345576460 352741877 486540520 501085867 649155359 691152920 705483754 1002171734 1298310718 1410967508 1763709385 2004343468 2505429335 2596621436 2821935016 3245776795 3527418770 4008686936 5010858670 5193242872 6491553590 7054837540 10021717340 12983107180 14109675080 18825505411 20043434680 25966214360 37651010822 75302021644 94127527055 150604043288 188255054110 369369399271 376510108220 738738798542 753020216440 1477477597084 1846846996355 2954955194168 3693693992710 7387387985420 10711712578859 14774775970840 21423425157718 42846850315436 53558562894295 85693700630872 107117125788590 214234251577180 428468503154360