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453426301131504 = 243194491861595003
BaseRepresentation
bin110011100011000111000100…
…1100111000101101011110000
32012110110010112112110221102020
41213012032021213011223300
5433412414031042202004
64244205100032351440
7164335653302425341
oct14706161147055360
92173403475427366
10453426301131504
1112152601820a178
1242a3107a9a5580
1316600bbc08845c
147dd7d42dcc0c8
1537649d2e138d9
hex19c63899c5af0

453426301131504 has 160 divisors (see below), whose sum is σ = 1236413551968000. Its totient is φ = 142791340769280.

The previous prime is 453426301131421. The next prime is 453426301131563. The reversal of 453426301131504 is 405131103624354.

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, 761759667 + ... + 762354669.

It is an arithmetic number, because the mean of its divisors is an integer number (7727584699800).

Almost surely, 2453426301131504 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 453426301131504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618206775984000).

453426301131504 is an abundant number, since it is smaller than the sum of its proper divisors (782987250836496).

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

453426301131504 is a wasteful number, since it uses less digits than its factorization.

453426301131504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597343 (or 597337 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 453426301131504 its reverse (405131103624354), we get a palindrome (858557404755858).

The spelling of 453426301131504 in words is "four hundred fifty-three trillion, four hundred twenty-six billion, three hundred one million, one hundred thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 449 456 898 912 1347 1796 1861 2694 3592 3722 5388 5583 7184 7444 8531 10776 11166 14888 17062 21552 22332 25593 29776 34124 35359 44664 51186 68248 70718 89328 102372 106077 136496 141436 204744 212154 282872 409488 424308 565744 595003 835589 848616 1190006 1671178 1697232 1785009 2380012 2506767 3342356 3570018 4760024 5013534 6684712 7140036 9520048 10027068 11305057 13369424 14280072 15876191 20054136 22610114 28560144 31752382 33915171 40108272 45220228 47628573 63504764 67830342 90440456 95257146 127009528 135660684 180880912 190514292 254019056 267156347 271321368 381028584 534312694 542642736 762057168 801469041 1068625388 1107300583 1602938082 2137250776 2214601166 3205876164 3321901749 4274501552 4429202332 5075970593 6411752328 6643803498 8858404664 10151941186 12823504656 13287606996 15227911779 17716809328 20303882372 21038711077 26575213992 30455823558 40607764744 42077422154 53150427984 60911647116 63116133231 81215529488 84154844308 121823294232 126232266462 168309688616 243646588464 252464532924 336619377232 497177961767 504929065848 994355923534 1009858131696 1491533885301 1988711847068 2983067770602 3977423694136 5966135541204 7954847388272 9446381273573 11932271082408 18892762547146 23864542164816 28339143820719 37785525094292 56678287641438 75571050188584 113356575282876 151142100377168 226713150565752 453426301131504