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45382429892472 = 2333751106339969
BaseRepresentation
bin10100101000110011010111…
…00111001101111101111000
312221200111222120100120022020
422110121223213031331320
521422021204023024342
6240304222300354440
712362525630206461
oct1224315347157570
9187614876316266
1045382429892472
1113507642614102
12510b503b45a20
131c42710b4611a
14b2c74273dd68
1553a77b5990ec
hex29466b9cdf78

45382429892472 has 32 divisors (see below), whose sum is σ = 116522455131600. Its totient is φ = 14718625910784.

The previous prime is 45382429892453. The next prime is 45382429892473. The reversal of 45382429892472 is 27429892428354.

It is a super-3 number, since 3×453824298924723 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 45382429892397 and 45382429892406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45382429892473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25553169097 + ... + 25553170872.

Almost surely, 245382429892472 is an apocalyptic number.

It is an amenable number.

45382429892472 is an abundant number, since it is smaller than the sum of its proper divisors (71140025239128).

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

45382429892472 is a wasteful number, since it uses less digits than its factorization.

45382429892472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51106340015 (or 51106340011 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 69.

The spelling of 45382429892472 in words is "forty-five trillion, three hundred eighty-two billion, four hundred twenty-nine million, eight hundred ninety-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 51106339969 102212679938 153319019907 204425359876 306638039814 408850719752 613276079628 1226552159256 1890934578853 3781869157706 5672803736559 7563738315412 11345607473118 15127476630824 22691214946236 45382429892472