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10357116666 = 2313229569619
BaseRepresentation
bin10011010010101010…
…10000111011111010
3222201210202001002120
421221111100323322
5132202410213131
64431420542110
7514442016261
oct115125207372
928653661076
1010357116666
114435360056
1220106b1936
13c90995a00
147037635d8
15409400496
hex269550efa

10357116666 has 96 divisors (see below), whose sum is σ = 23281992000. Its totient is φ = 3066545664.

The previous prime is 10357116661. The next prime is 10357116691. The reversal of 10357116666 is 66661175301.

It is a happy number.

It is a super-3 number, since 3×103571166663 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10357116661) 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, 16731705 + ... + 16732323.

It is an arithmetic number, because the mean of its divisors is an integer number (242520750).

Almost surely, 210357116666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10357116666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640996000).

10357116666 is an abundant number, since it is smaller than the sum of its proper divisors (12924875334).

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

10357116666 is a wasteful number, since it uses less digits than its factorization.

10357116666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 10357116666 in words is "ten billion, three hundred fifty-seven million, one hundred sixteen thousand, six hundred sixty-six".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 169 174 338 377 507 569 619 754 1014 1131 1138 1238 1707 1857 2262 3414 3714 4901 7397 8047 9802 14703 14794 16094 16501 17951 22191 24141 29406 33002 35902 44382 48282 49503 53853 96161 99006 104611 107706 192322 209222 214513 233363 288483 313833 352211 429026 466726 576966 627666 643539 700089 704422 1056633 1287078 1400178 2113266 2788669 3033719 4578743 5577338 6067438 8366007 9101157 9157486 10214119 13736229 16732014 18202314 20428238 27472458 30642357 59523659 61284714 119047318 132783547 178570977 265567094 357141954 398350641 796701282 1726186111 3452372222 5178558333 10357116666