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41642150445 = 3257218885329
BaseRepresentation
bin100110110010000100…
…001100101000101101
310222111010001102102100
4212302010030220231
51140240342303240
631044035445313
73002634303300
oct466204145055
9128433042370
1041642150445
11167299a9a75
1280a1a56839
133c0835590c
142030714b37
15113ac5ee30
hex9b210ca2d

41642150445 has 36 divisors (see below), whose sum is σ = 83964177180. Its totient is φ = 19036410624.

The previous prime is 41642150443. The next prime is 41642150461. The reversal of 41642150445 is 54405124614.

41642150445 is a `hidden beast` number, since 4 + 1 + 64 + 2 + 150 + 445 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31540694409 + 10101456036 = 177597^2 + 100506^2 .

It is not a de Polignac number, because 41642150445 - 21 = 41642150443 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41642150443) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9440460 + ... + 9444869.

It is an arithmetic number, because the mean of its divisors is an integer number (2332338255).

Almost surely, 241642150445 is an apocalyptic number.

41642150445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41642150445 is an abundant number, since it is smaller than the sum of its proper divisors (42322026735).

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

41642150445 is a wasteful number, since it uses less digits than its factorization.

41642150445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18885354 (or 18885344 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 41642150445 in words is "forty-one billion, six hundred forty-two million, one hundred fifty thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 18885329 56655987 94426645 132197303 169967961 283279935 396591909 660986515 849839805 925381121 1189775727 1982959545 2776143363 4626905605 5948878635 8328430089 13880716815 41642150445