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6066056010 = 2357431096163
BaseRepresentation
bin1011010011001000…
…01010101101001010
3120122202100120111010
411221210022231022
544410402243020
62441532344350
7303215424330
oct55144125512
916582316433
106066056010
112633148733
1212136150b6
13758986371
144178c5b50
15257834de0
hex16990ab4a

6066056010 has 128 divisors (see below), whose sum is σ = 17184245760. Its totient is φ = 1341639936.

The previous prime is 6066055993. The next prime is 6066056023. The reversal of 6066056010 is 106506606.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 981189 + ... + 987351.

It is an arithmetic number, because the mean of its divisors is an integer number (134251920).

Almost surely, 26066056010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066056010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592122880).

6066056010 is an abundant number, since it is smaller than the sum of its proper divisors (11118189750).

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

6066056010 is a wasteful number, since it uses less digits than its factorization.

6066056010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6066056010 is about 77884.8894844180. The cubic root of 6066056010 is about 1823.7646995398.

The spelling of 6066056010 in words is "six billion, sixty-six million, fifty-six thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 109 129 210 215 218 258 301 327 430 545 602 645 654 763 903 1090 1290 1505 1526 1635 1806 2289 3010 3270 3815 4515 4578 4687 6163 7630 9030 9374 11445 12326 14061 18489 22890 23435 28122 30815 32809 36978 43141 46870 61630 65618 70305 86282 92445 98427 129423 140610 164045 184890 196854 215705 258846 265009 328090 431410 492135 530018 647115 671767 795027 984270 1294230 1325045 1343534 1590054 1855063 2015301 2650090 3358835 3710126 3975135 4030602 4702369 5565189 6717670 7950270 9275315 9404738 10076505 11130378 14107107 18550630 20153010 23511845 27825945 28214214 28885981 47023690 55651890 57771962 70535535 86657943 141071070 144429905 173315886 202201867 288859810 404403734 433289715 606605601 866579430 1011009335 1213211202 2022018670 3033028005 6066056010