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10055035005 = 3523294721383
BaseRepresentation
bin10010101110101001…
…11010100001111101
3221221202022200221220
421113110322201331
5131043042110010
64341430143553
7504113246601
oct112724724175
927852280856
1010055035005
11429a894694
121b474b1bb9
13c43219572
146b55ab501
153dcb2e970
hex25753a87d

10055035005 has 64 divisors (see below), whose sum is σ = 17736744960. Its totient is φ = 4847042816.

The previous prime is 10055034971. The next prime is 10055035007. The reversal of 10055035005 is 50053055001.

It is not a de Polignac number, because 10055035005 - 27 = 10055034877 is a prime.

It is a super-2 number, since 2×100550350052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055035007) 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 63 ways as a sum of consecutive naturals, for example, 459544 + ... + 480926.

It is an arithmetic number, because the mean of its divisors is an integer number (277136640).

Almost surely, 210055035005 is an apocalyptic number.

10055035005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10055035005 is a deficient number, since it is larger than the sum of its proper divisors (7681709955).

10055035005 is a wasteful number, since it uses less digits than its factorization.

10055035005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21490.

The product of its (nonzero) digits is 1875, while the sum is 24.

The spelling of 10055035005 in words is "ten billion, fifty-five million, thirty-five thousand, five".

Divisors: 1 3 5 15 23 29 47 69 87 115 141 145 235 345 435 667 705 1081 1363 2001 3243 3335 4089 5405 6815 10005 16215 20445 21383 31349 64149 94047 106915 156745 320745 470235 491809 620107 1005001 1475427 1860321 2459045 3015003 3100535 5025005 7377135 9301605 14262461 15075015 23115023 29145029 42787383 69345069 71312305 87435087 115575115 145725145 213936915 346725345 437175435 670335667 2011007001 3351678335 10055035005