Search a number
-
+
45422521536 = 2637101334619
BaseRepresentation
bin101010010011011001…
…001010110011000000
311100020120111011122110
4222103121022303000
51221011131142121
632511122135320
73165420030330
oct522331126300
9140216434573
1045422521536
11182999137a7
128977ab1540
13438b6097a2
1422ac8170c0
1512aca9ed76
hexa9364acc0

45422521536 has 112 divisors (see below), whose sum is σ = 138709359360. Its totient is φ = 12849331200.

The previous prime is 45422521531. The next prime is 45422521583. The reversal of 45422521536 is 63512522454.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 45422521494 and 45422521503.

It is not an unprimeable number, because it can be changed into a prime (45422521531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31566 + ... + 303053.

Almost surely, 245422521536 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 45422521536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69354679680).

45422521536 is an abundant number, since it is smaller than the sum of its proper divisors (93286837824).

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

45422521536 is a wasteful number, since it uses less digits than its factorization.

45422521536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334742 (or 334732 counting only the distinct ones).

The product of its digits is 288000, while the sum is 39.

The spelling of 45422521536 in words is "forty-five billion, four hundred twenty-two million, five hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 168 192 202 224 303 336 404 448 606 672 707 808 1212 1344 1414 1616 2121 2424 2828 3232 4242 4848 5656 6464 8484 9696 11312 16968 19392 22624 33936 45248 67872 135744 334619 669238 1003857 1338476 2007714 2342333 2676952 4015428 4684666 5353904 7026999 8030856 9369332 10707808 14053998 16061712 18738664 21415616 28107996 32123424 33796519 37477328 56215992 64246848 67593038 74954656 101389557 112431984 135186076 149909312 202779114 224863968 236575633 270372152 405558228 449727936 473151266 540744304 709726899 811116456 946302532 1081488608 1419453798 1622232912 1892605064 2162977216 2838907596 3244465824 3785210128 5677815192 6488931648 7570420256 11355630384 15140840512 22711260768 45422521536