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10004115133419 = 3114734283188143
BaseRepresentation
bin1001000110010100001110…
…1110101001001111101011
31022102101100222120200122020
42101211003232221033223
52302401411433232134
633135454350355523
72051526204402651
oct221450356511753
938371328520566
1010004115133419
1132077a3205730
121156a45abbba3
135774cb88ba04
142682b7892dd1
1512536b35bb49
hex91943ba93eb

10004115133419 has 32 divisors (see below), whose sum is σ = 14861557776384. Its totient is φ = 5933893320480.

The previous prime is 10004115133409. The next prime is 10004115133423. The reversal of 10004115133419 is 91433151140001.

It is not a de Polignac number, because 10004115133419 - 217 = 10004115002347 is a prime.

It is a super-2 number, since 2×100041151334192 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 10004115133419.

It is not an unprimeable number, because it can be changed into a prime (10004115133409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53078862 + ... + 53267004.

It is an arithmetic number, because the mean of its divisors is an integer number (464423680512).

Almost surely, 210004115133419 is an apocalyptic number.

10004115133419 is a deficient number, since it is larger than the sum of its proper divisors (4857442642965).

10004115133419 is a wasteful number, since it uses less digits than its factorization.

10004115133419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222487.

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 10004115133419 in words is "ten trillion, four billion, one hundred fifteen million, one hundred thirty-three thousand, four hundred nineteen".

Divisors: 1 3 11 33 47 141 517 1551 34283 102849 188143 377113 564429 1131339 1611301 2069573 4833903 6208719 8842721 17724311 26528163 53172933 97269931 291809793 6450106469 19350319407 70951171159 212853513477 303155004043 909465012129 3334705044473 10004115133419