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450271971149 = 721113161339839
BaseRepresentation
bin1101000110101100100…
…11010000011101001101
31121001020020011002220012
412203112103100131031
524334124111034044
6542504015003005
744350105414400
oct6432623203515
91531206132805
10450271971149
11163a608753a0
1273323209465
13335ca844130
1417b16a8bd37
15baa50b259e
hex68d64d074d

450271971149 has 48 divisors (see below), whose sum is σ = 615753653760. Its totient is φ = 323663034240.

The previous prime is 450271971137. The next prime is 450271971151. The reversal of 450271971149 is 941179172054.

It is not a de Polignac number, because 450271971149 - 28 = 450271970893 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 450271971097 and 450271971106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450271971049) 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, 11282372 + ... + 11322210.

It is an arithmetic number, because the mean of its divisors is an integer number (12828201120).

Almost surely, 2450271971149 is an apocalyptic number.

450271971149 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

450271971149 is a deficient number, since it is larger than the sum of its proper divisors (165481682611).

450271971149 is a wasteful number, since it uses less digits than its factorization.

450271971149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41490 (or 41483 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 50.

The spelling of 450271971149 in words is "four hundred fifty billion, two hundred seventy-one million, nine hundred seventy-one thousand, one hundred forty-nine".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 1613 7007 11291 17743 20969 39839 79037 124201 146783 230659 278873 438229 517907 869407 1027481 1614613 1952111 3067603 3625349 5696977 11302291 21473221 25377443 39878839 64260307 279151873 449822149 706863377 835383991 3148755043 4948043639 5847687937 9189223901 34636305473 40933815559 64324567307 450271971149