Search a number
-
+
1056005005050 = 232522903808363
BaseRepresentation
bin11110101110111101100…
…11011001111011111010
310201221201210201110102100
433113132303121323322
5114300144240130200
62125042204044230
7136202534304102
oct17273663317372
93657653643370
101056005005050
11377938328136
121507b1b33676
1378772167498
143917a4ca202
151c7083d1d00
hexf5decd9efa

1056005005050 has 72 divisors (see below), whose sum is σ = 2838114268704. Its totient is φ = 281503982880.

The previous prime is 1056005004997. The next prime is 1056005005091. The reversal of 1056005005050 is 505005006501.

1056005005050 is a `hidden beast` number, since 1 + 0 + 5 + 60 + 0 + 500 + 50 + 50 = 666.

It is a super-2 number, since 2×10560050050502 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 902169 + ... + 1710531.

It is an arithmetic number, because the mean of its divisors is an integer number (39418253732).

Almost surely, 21056005005050 is an apocalyptic number.

1056005005050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1056005005050 is an abundant number, since it is smaller than the sum of its proper divisors (1782109263654).

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

1056005005050 is a wasteful number, since it uses less digits than its factorization.

1056005005050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811284 (or 811276 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 1056005005050 in words is "one trillion, fifty-six billion, five million, five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 2903 5806 8709 14515 17418 26127 29030 43545 52254 72575 87090 130635 145150 217725 261270 435450 653175 808363 1306350 1616726 2425089 4041815 4850178 7275267 8083630 12125445 14550534 20209075 24250890 36376335 40418150 60627225 72752670 121254450 181881675 363763350 2346677789 4693355578 7040033367 11733388945 14080066734 21120100101 23466777890 35200166835 42240200202 58666944725 70400333670 105600500505 117333889450 176000834175 211201001010 352001668350 528002502525 1056005005050