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2576229060006 = 232731730990239
BaseRepresentation
bin100101011111010011001…
…101111100110110100110
3100010021200211111001000100
4211133103031330312212
5314202104114410011
65251300413324530
7354061233462030
oct45372315746646
910107624431010
102576229060006
11903633162328
12357359a96746
13158c254b59c4
148c993ac2c50
1547031003d56
hex257d337cda6

2576229060006 has 96 divisors (see below), whose sum is σ = 6585989529600. Its totient is φ = 712216048320.

The previous prime is 2576229059969. The next prime is 2576229060007. The reversal of 2576229060006 is 6000609226752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2576229060007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28503835 + ... + 28594073.

It is an arithmetic number, because the mean of its divisors is an integer number (68604057600).

Almost surely, 22576229060006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2576229060006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292994764800).

2576229060006 is an abundant number, since it is smaller than the sum of its proper divisors (4009760469594).

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

2576229060006 is a wasteful number, since it uses less digits than its factorization.

2576229060006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97594 (or 97591 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2576229060006 in words is "two trillion, five hundred seventy-six billion, two hundred twenty-nine million, sixty thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 7309 14618 21927 43854 51163 65781 90239 102326 131562 153489 180478 226579 270717 306978 453158 460467 541434 631673 679737 812151 920934 1263346 1359474 1586053 1624302 1895019 2039211 2797409 3172106 3790038 4078422 4758159 5594818 5685057 8392227 9516318 11370114 14274477 16784454 19581863 25176681 28548954 39163726 50353362 58745589 117491178 176236767 352473534 659556851 1319113702 1978670553 3957341106 4616897957 5936011659 9233795914 11872023318 13850693871 20446262381 27701387742 40892524762 41552081613 61338787143 83104163226 122677574286 143123836667 184016361429 286247673334 368032722858 429371510001 858743020002 1288114530003 2576229060006