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1006050555050 = 252296111374229
BaseRepresentation
bin11101010001111010100…
…10010011010010101010
310120011210101121110122112
432220331102103102222
5112440342420230200
62050101230522322
7132453604423142
oct16507522232252
93504711543575
101006050555050
11358733346512
12142b903663a2
1373b40985528
143699bc55922
151b282a38535
hexea3d4934aa

1006050555050 has 48 divisors (see below), whose sum is σ = 1967514305400. Its totient is φ = 382174060800.

The previous prime is 1006050555023. The next prime is 1006050555067. The reversal of 1006050555050 is 505550506001.

1006050555050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 41390681809 + 964659873241 = 203447^2 + 982171^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1006050554998 and 1006050555016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5598665 + ... + 5775564.

Almost surely, 21006050555050 is an apocalyptic number.

1006050555050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006050555050 is a deficient number, since it is larger than the sum of its proper divisors (961463750350).

1006050555050 is a wasteful number, since it uses less digits than its factorization.

1006050555050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11374331 (or 11374326 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 1006050555050 in words is "one trillion, six billion, fifty million, five hundred fifty-five thousand, fifty".

Divisors: 1 2 5 10 25 29 50 58 61 122 145 290 305 610 725 1450 1525 1769 3050 3538 8845 17690 44225 88450 11374229 22748458 56871145 113742290 284355725 329852641 568711450 659705282 693827969 1387655938 1649263205 3298526410 3469139845 6938279690 8246316025 16492632050 17345699225 20121011101 34691398450 40242022202 100605055505 201210111010 503025277525 1006050555050