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454884080868 = 223273188765647
BaseRepresentation
bin1101001111010010011…
…01000011110011100100
31121111010122122120000200
412213221031003303210
524423100311041433
6544545412310500
744602310614410
oct6475115036344
91544118576020
10454884080868
11165a08228718
12741ab912430
1333b84211339
141803341bd40
15bc74e48613
hex69e9343ce4

454884080868 has 144 divisors (see below), whose sum is σ = 1358050197504. Its totient is φ = 125630688960.

The previous prime is 454884080863. The next prime is 454884081007. The reversal of 454884080868 is 868080488454.

454884080868 is a `hidden beast` number, since 4 + 548 + 8 + 4 + 0 + 8 + 0 + 86 + 8 = 666.

454884080868 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (454884080863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6896421 + ... + 6962067.

Almost surely, 2454884080868 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 454884080868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679025098752).

454884080868 is an abundant number, since it is smaller than the sum of its proper divisors (903166116636).

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

454884080868 is a wasteful number, since it uses less digits than its factorization.

454884080868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66582 (or 66577 counting only the distinct ones).

The product of its (nonzero) digits is 62914560, while the sum is 63.

The spelling of 454884080868 in words is "four hundred fifty-four billion, eight hundred eighty-four million, eighty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 887 1116 1302 1774 1953 2604 2661 3548 3906 5322 6209 7812 7983 10644 12418 15966 18627 24836 27497 31932 37254 54994 55881 65647 74508 82491 109988 111762 131294 164982 192479 196941 223524 247473 262588 329964 384958 393882 459529 494946 577437 590823 769916 787764 919058 989892 1154874 1181646 1378587 1732311 1838116 2035057 2309748 2363292 2757174 3464622 4070114 4135761 5514348 6105171 6929244 8140228 8271522 12210342 14245399 16543044 18315513 24420684 28490798 36631026 42736197 56981596 58228889 73262052 85472394 116457778 128208591 170944788 174686667 232915556 256417182 349373334 407602223 512834364 524060001 698746668 815204446 1048120002 1222806669 1630408892 1805095559 2096240004 2445613338 3610191118 3668420007 4891226676 5415286677 7220382236 7336840014 10830573354 12635668913 14673680028 16245860031 21661146708 25271337826 32491720062 37907006739 50542675652 64983440124 75814013478 113721020217 151628026956 227442040434 454884080868