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950021442945 = 325591787200237
BaseRepresentation
bin11011101001100011011…
…00001100110110000001
310100211011121221200001100
431310301230030312001
5111031120442133240
62004233412325013
7125431263012111
oct15646154146601
93324147850040
10950021442945
113369a1379293
12134154313769
136b781ac5c63
1433da48d9041
1519aa3c09e30
hexdd31b0cd81

950021442945 has 48 divisors (see below), whose sum is σ = 1675559545920. Its totient is φ = 497809122432.

The previous prime is 950021442941. The next prime is 950021442949. The reversal of 950021442945 is 549244120059.

950021442945 is a `hidden beast` number, since 9 + 5 + 0 + 0 + 214 + 429 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (950021442941) and next prime (950021442949).

It is not a de Polignac number, because 950021442945 - 22 = 950021442941 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 950021442945.

It is not an unprimeable number, because it can be changed into a prime (950021442941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4644367 + ... + 4844603.

It is an arithmetic number, because the mean of its divisors is an integer number (34907490540).

Almost surely, 2950021442945 is an apocalyptic number.

It is an amenable number.

950021442945 is a deficient number, since it is larger than the sum of its proper divisors (725538102975).

950021442945 is a wasteful number, since it uses less digits than its factorization.

950021442945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202094 (or 202091 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 950021442945 in words is "nine hundred fifty billion, twenty-one million, four hundred forty-two thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 59 177 295 531 885 1787 2655 5361 8935 16083 26805 80415 105433 200237 316299 527165 600711 948897 1001185 1581495 1802133 3003555 4744485 9010665 11813983 35441949 59069915 106325847 177209745 357823519 531629235 1073470557 1789117595 3220411671 5367352785 16102058355 21111587621 63334762863 105557938105 190004288589 316673814315 950021442945