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425362808772 = 22321123113413293
BaseRepresentation
bin1100011000010011001…
…10010101111111000100
31111122221021011112212200
412030021212111333010
523432120334340042
6523224201114500
742505613134626
oct6141146257704
91448837145780
10425362808772
11154439241a90
126a531188a30
133115b093bb5
14168327ccc16
15b0e8384c4c
hex6309995fc4

425362808772 has 144 divisors (see below), whose sum is σ = 1234803443328. Its totient is φ = 122202178560.

The previous prime is 425362808723. The next prime is 425362808779. The reversal of 425362808772 is 277808263524.

425362808772 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 628 + 0 + 8 + 7 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (425362808779) 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, 822558 + ... + 1235850.

It is an arithmetic number, because the mean of its divisors is an integer number (8575023912).

Almost surely, 2425362808772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425362808772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617401721664).

425362808772 is an abundant number, since it is smaller than the sum of its proper divisors (809440634556).

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

425362808772 is a wasteful number, since it uses less digits than its factorization.

425362808772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413450 (or 413445 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 425362808772 in words is "four hundred twenty-five billion, three hundred sixty-two million, eight hundred eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 113 132 138 198 207 226 253 276 339 396 414 452 506 678 759 828 1012 1017 1243 1356 1518 2034 2277 2486 2599 3036 3729 4068 4554 4972 5198 7458 7797 9108 10396 11187 14916 15594 22374 23391 28589 31188 44748 46782 57178 85767 93564 114356 171534 257301 343068 413293 514602 826586 1029204 1239879 1653172 2479758 3719637 4546223 4959516 7439274 9092446 9505739 13638669 14878548 18184892 19011478 27277338 28517217 38022956 40916007 46702109 54554676 57034434 81832014 85551651 93404218 104563129 114068868 140106327 163664028 171103302 186808436 209126258 280212654 313689387 342206604 418252516 420318981 513723199 560425308 627378774 840637962 941068161 1027446398 1074148507 1254757548 1541169597 1681275924 1882136322 2054892796 2148297014 3082339194 3222445521 3764272644 4296594028 4623508791 6164678388 6444891042 9247017582 9667336563 11815633577 12889782084 18494035164 19334673126 23631267154 35446900731 38669346252 47262534308 70893801462 106340702193 141787602924 212681404386 425362808772