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10054115214 = 23111321723119
BaseRepresentation
bin10010101110100010…
…11001111110001110
3221221200120222020120
421113101121332032
5131042323141324
64341354325410
7504102366153
oct112721317616
927850528216
1010054115214
11429a316630
121b47129866
13c42c86a00
146b540c22a
153dc9ec179
hex257459f8e

10054115214 has 144 divisors (see below), whose sum is σ = 25240999680. Its totient is φ = 2646059520.

The previous prime is 10054115171. The next prime is 10054115233. The reversal of 10054115214 is 41251145001.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3221947 + ... + 3225065.

It is an arithmetic number, because the mean of its divisors is an integer number (175284720).

Almost surely, 210054115214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10054115214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620499840).

10054115214 is an abundant number, since it is smaller than the sum of its proper divisors (15186884466).

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

10054115214 is a wasteful number, since it uses less digits than its factorization.

10054115214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 10054115214 in words is "ten billion, fifty-four million, one hundred fifteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 169 187 221 286 289 338 374 429 442 507 561 578 663 858 867 1014 1122 1326 1734 1859 2431 2873 3119 3179 3718 3757 4862 5577 5746 6238 6358 7293 7514 8619 9357 9537 11154 11271 14586 17238 18714 19074 22542 31603 34309 40547 41327 48841 53023 63206 68618 81094 82654 94809 97682 102927 106046 121641 123981 146523 159069 189618 205854 243282 247962 293046 318138 446017 527111 537251 583253 689299 892034 901391 1054222 1074502 1166506 1338051 1378598 1581333 1611753 1749759 1802782 2067897 2676102 2704173 3162666 3223506 3499518 4135794 5408346 5798221 7582289 8960887 9915301 11596442 11718083 15164578 17394663 17921774 19830602 22746867 23436166 26882661 29745903 34789326 35154249 45493734 53765322 59491806 70308498 98569757 128898913 152335079 197139514 257797826 295709271 304670158 386696739 457005237 591418542 773393478 914010474 1675685869 3351371738 5027057607 10054115214