Search a number
-
+
44968124025 = 34521110931847
BaseRepresentation
bin101001111000010011…
…110001111001111001
311022001220110101110000
4221320103301321321
51214043314432100
632354050543213
73151231514256
oct517023617171
9138056411400
1044968124025
1118086374170
12886b897b09
134318430316
14226833242d
151282c43900
hexa784f1e79

44968124025 has 120 divisors (see below), whose sum is σ = 91001300544. Its totient is φ = 21770985600.

The previous prime is 44968124009. The next prime is 44968124083. The reversal of 44968124025 is 52042186944.

It is a happy number.

44968124025 is a `hidden beast` number, since 449 + 68 + 124 + 0 + 25 = 666.

It is not a de Polignac number, because 44968124025 - 24 = 44968124009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24345652 + ... + 24347498.

Almost surely, 244968124025 is an apocalyptic number.

44968124025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44968124025 is an abundant number, since it is smaller than the sum of its proper divisors (46033176519).

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

44968124025 is a wasteful number, since it uses less digits than its factorization.

44968124025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 44968124025 in words is "forty-four billion, nine hundred sixty-eight million, one hundred twenty-four thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 675 825 891 1093 1485 1847 2025 2475 3279 4455 5465 5541 7425 9235 9837 12023 16395 16623 20317 22275 27325 27705 29511 36069 46175 49185 49869 60115 60951 81975 83115 88533 101585 108207 138525 147555 149607 180345 182853 245925 249345 300575 304755 324621 415575 442665 507925 541035 548559 737775 748035 901725 914265 973863 1246725 1523775 1623105 1645677 2018771 2213325 2705175 2742795 3740175 4571325 4869315 6056313 8115525 8228385 10093855 13713975 18168939 22206481 24346575 30281565 41141925 50469275 54506817 66619443 90844695 111032405 151407825 163520451 199858329 272534085 333097215 454223475 555162025 599574987 817602255 999291645 1362670425 1665486075 1798724961 2997874935 4088011275 4996458225 8993624805 14989374675 44968124025