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1005422255244 = 2232112538945089
BaseRepresentation
bin11101010000101111101…
…01100001110010001100
310120010011121100112100100
432220113311201302030
5112433101044131434
62045515024131100
7132432205106241
oct16502765416214
93503147315310
101005422255244
11358440719580
12142a35a66a90
1373a7075b7b4
143693c6235c8
151b2477ca699
hexea17d61c8c

1005422255244 has 36 divisors (see below), whose sum is σ = 2772528038280. Its totient is φ = 304673410560.

The previous prime is 1005422255203. The next prime is 1005422255261. The reversal of 1005422255244 is 4425522245001.

1005422255244 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 42 + 22 + 552 + 44 = 666.

1005422255244 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10054222552442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1005422255199 and 1005422255208.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1269472149 + ... + 1269472940.

It is an arithmetic number, because the mean of its divisors is an integer number (77014667730).

Almost surely, 21005422255244 is an apocalyptic number.

It is an amenable number.

1005422255244 is an abundant number, since it is smaller than the sum of its proper divisors (1767105783036).

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

1005422255244 is a wasteful number, since it uses less digits than its factorization.

1005422255244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538945110 (or 2538945105 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 1005422255244 in words is "one trillion, five billion, four hundred twenty-two million, two hundred fifty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2538945089 5077890178 7616835267 10155780356 15233670534 22850505801 27928395979 30467341068 45701011602 55856791958 83785187937 91402023204 111713583916 167570375874 251355563811 335140751748 502711127622 1005422255244