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1006055560050 = 23527877851471
BaseRepresentation
bin11101010001111011001…
…01011001001101110010
310120011210202000202012220
432220331211121031302
5112440400210410200
62050101530101510
7132453665110032
oct16507545311562
93504722022186
101006055560050
11358736154882
12142b91b7a896
1373b41a18678
143699c7998c2
151b2831c64a0
hexea3d959372

1006055560050 has 48 divisors (see below), whose sum is σ = 2495337466752. Its totient is φ = 268247108800.

The previous prime is 1006055559983. The next prime is 1006055560061. The reversal of 1006055560050 is 500655506001.

It is a junction number, because it is equal to n+sod(n) for n = 1006055559993 and 1006055560020.

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, 755815 + ... + 1607285.

It is an arithmetic number, because the mean of its divisors is an integer number (51986197224).

Almost surely, 21006055560050 is an apocalyptic number.

1006055560050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006055560050 is an abundant number, since it is smaller than the sum of its proper divisors (1489281906702).

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

1006055560050 is a wasteful number, since it uses less digits than its factorization.

1006055560050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859363 (or 859358 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 1006055560050 in words is "one trillion, six billion, fifty-five million, five hundred sixty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 7877 15754 23631 39385 47262 78770 118155 196925 236310 393850 590775 851471 1181550 1702942 2554413 4257355 5108826 8514710 12772065 21286775 25544130 42573550 63860325 127720650 6707037067 13414074134 20121111201 33535185335 40242222402 67070370670 100605556005 167675926675 201211112010 335351853350 503027780025 1006055560050