Search a number
-
+
45107961921 = 32111967359997
BaseRepresentation
bin101010000000101001…
…001110000001000001
311022102122120212222100
4222000221032001001
51214340114240141
632420004101013
73154550231031
oct520051160101
9138378525870
1045107961921
11181482a5480
1288aa694769
13433b3b1939
14227cb338c1
1512901670b6
hexa80a4e041

45107961921 has 96 divisors (see below), whose sum is σ = 76224844800. Its totient is φ = 25416167040.

The previous prime is 45107961911. The next prime is 45107961971. The reversal of 45107961921 is 12916970154.

45107961921 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 7 + 9 + 619 + 21 = 666.

It is not a de Polignac number, because 45107961921 - 27 = 45107961793 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45107961911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45243195 + ... + 45244191.

It is an arithmetic number, because the mean of its divisors is an integer number (794008800).

Almost surely, 245107961921 is an apocalyptic number.

It is an amenable number.

45107961921 is a deficient number, since it is larger than the sum of its proper divisors (31116882879).

45107961921 is a wasteful number, since it uses less digits than its factorization.

45107961921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 45107961921 in words is "forty-five billion, one hundred seven million, nine hundred sixty-one thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 19 33 57 67 99 171 201 209 359 603 627 737 997 1077 1273 1881 2211 2991 3231 3819 3949 6633 6821 8973 10967 11457 11847 14003 18943 20463 24053 32901 35541 42009 56829 61389 66799 72159 75031 98703 126027 170487 200397 208373 216477 225093 264583 357923 457007 601191 625119 675279 734789 793749 1073769 1269181 1371021 1875357 2204367 2381247 3221307 3807543 3937153 4113063 5027077 6613101 6800537 11422629 11811459 13960991 15081231 20401611 23980841 35434377 41882973 45243693 61204833 71942523 74805907 125648919 215827569 224417721 263789251 455635979 673253163 791367753 1366907937 2374103259 4100723811 5011995769 15035987307 45107961921