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451511426912 = 25713271167987
BaseRepresentation
bin1101001001000000010…
…11011001111101100000
31121011102121101222120012
412210200023121331200
524344143411130122
6543231012504052
744422605543140
oct6444013317540
91534377358505
10451511426912
1116453747a8a7
127360a31b028
1333767571500
1417bd352c920
15bb28ce37e2
hex69202d9f60

451511426912 has 144 divisors (see below), whose sum is σ = 1115558583552. Its totient is φ = 176103083520.

The previous prime is 451511426897. The next prime is 451511426941. The reversal of 451511426912 is 219624115154.

It is a super-2 number, since 2×4515114269122 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 451511426912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2603783 + ... + 2771769.

It is an arithmetic number, because the mean of its divisors is an integer number (7746934608).

Almost surely, 2451511426912 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 451511426912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557779291776).

451511426912 is an abundant number, since it is smaller than the sum of its proper divisors (664047156640).

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

451511426912 is a wasteful number, since it uses less digits than its factorization.

451511426912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168101 (or 168080 counting only the distinct ones).

The product of its digits is 86400, while the sum is 41.

The spelling of 451511426912 in words is "four hundred fifty-one billion, five hundred eleven million, four hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 71 91 104 112 142 169 182 208 224 284 338 364 416 497 568 676 728 923 994 1136 1183 1352 1456 1846 1988 2272 2366 2704 2912 3692 3976 4732 5408 6461 7384 7952 9464 11999 12922 14768 15904 18928 23998 25844 29536 37856 47996 51688 83993 95992 103376 167986 167987 191984 206752 335972 335974 383968 671944 671948 1175909 1343888 1343896 2183831 2351818 2687776 2687792 4367662 4703636 5375584 8735324 9407272 11927077 15286817 17470648 18814544 23854154 28389803 30573634 34941296 37629088 47708308 56779606 61147268 69882592 83489539 95416616 113559212 122294536 155052001 166979078 190833232 198728621 227118424 244589072 310104002 333958156 381666464 397457242 454236848 489178144 620208004 667916312 794914484 908473696 1085364007 1240416008 1335832624 1589828968 2015676013 2170728014 2480832016 2671665248 3179657936 4031352026 4341456028 4961664032 6359315872 8062704052 8682912056 14109732091 16125408104 17365824112 28219464182 32250816208 34731648224 56438928364 64501632416 112877856728 225755713456 451511426912