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45135625344 = 273117540691
BaseRepresentation
bin101010000010010010…
…101111110010000000
311022111120122100001120
4222002102233302000
51214414210002334
632422433032240
73155334325305
oct520222576200
9138446570046
1045135625344
111816197a407
1288b79b5680
134344049224
1422826950ac
1512927cd949
hexa824afc80

45135625344 has 32 divisors (see below), whose sum is σ = 119891505840. Its totient is φ = 15045208320.

The previous prime is 45135625321. The next prime is 45135625349. The reversal of 45135625344 is 44352653154.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 45135625296 and 45135625305.

It is not an unprimeable number, because it can be changed into a prime (45135625349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58769962 + ... + 58770729.

Almost surely, 245135625344 is an apocalyptic number.

It is an amenable number.

45135625344 is an abundant number, since it is smaller than the sum of its proper divisors (74755880496).

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

45135625344 is a wasteful number, since it uses less digits than its factorization.

45135625344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117540708 (or 117540696 counting only the distinct ones).

The product of its digits is 864000, while the sum is 42.

The spelling of 45135625344 in words is "forty-five billion, one hundred thirty-five million, six hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 117540691 235081382 352622073 470162764 705244146 940325528 1410488292 1880651056 2820976584 3761302112 5641953168 7522604224 11283906336 15045208448 22567812672 45135625344