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46454422445464 = 23115944543200869
BaseRepresentation
bin10101001000000000000110…
…10110010001110110011000
320002110222222120110121111211
422210000003112101312120
522042102124121223324
6242444511141232504
712533135615442535
oct1244000326216630
9202428876417454
1046454422445464
1113890234451680
125263218102734
131cbc8302c6b37
14b68598279d8c
155585bd312294
hex2a4003591d98

46454422445464 has 64 divisors (see below), whose sum is σ = 96633575424000. Its totient is φ = 20757184897920.

The previous prime is 46454422445447. The next prime is 46454422445503.

46454422445464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46454422445399 and 46454422445408.

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 15 ways as a sum of consecutive naturals, for example, 231166822 + ... + 231367690.

It is an arithmetic number, because the mean of its divisors is an integer number (1509899616000).

Almost surely, 246454422445464 is an apocalyptic number.

46454422445464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46454422445464 is an abundant number, since it is smaller than the sum of its proper divisors (50179152978536).

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

46454422445464 is a wasteful number, since it uses less digits than its factorization.

46454422445464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245488 (or 245484 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 58.

The spelling of 46454422445464 in words is "forty-six trillion, four hundred fifty-four billion, four hundred twenty-two million, four hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 1298 2596 5192 44543 89086 178172 200869 356344 401738 489973 803476 979946 1606952 1959892 2209559 2628037 3919784 4419118 5256074 8838236 10512148 11851271 17676472 21024296 23702542 28908407 47405084 57816814 94810168 115633628 130363981 231267256 260727962 521455924 1042911848 8947307867 17894615734 35789231468 71578462936 98420386537 196840773074 393681546148 527891164153 787363092296 1055782328306 2111564656612 4223129313224 5806802805683 11613605611366 23227211222732 46454422445464