Search a number
-
+
2010715171556 = 2271361317285667
BaseRepresentation
bin11101010000100111111…
…101101010101011100100
321010020000012022222000212
4131100213331222223210
5230420421040442211
64135413152154552
7265161252650210
oct35204775525344
97106005288025
102010715171556
11705815327873
12285834538a58
131177c0473680
146d4679b9940
1537483a5838b
hex1d427f6aae4

2010715171556 has 96 divisors (see below), whose sum is σ = 4415668545792. Its totient is φ = 779936739840.

The previous prime is 2010715171429. The next prime is 2010715171583. The reversal of 2010715171556 is 6551715170102.

It is a super-2 number, since 2×20107151715562 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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, 6895835 + ... + 7181501.

It is an arithmetic number, because the mean of its divisors is an integer number (45996547352).

Almost surely, 22010715171556 is an apocalyptic number.

2010715171556 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010715171556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207834272896).

2010715171556 is an abundant number, since it is smaller than the sum of its proper divisors (2404953374236).

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

2010715171556 is a wasteful number, since it uses less digits than its factorization.

2010715171556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286069 (or 286067 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 41.

The spelling of 2010715171556 in words is "two trillion, ten billion, seven hundred fifteen million, one hundred seventy-one thousand, five hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 61 91 122 182 244 317 364 427 634 793 854 1268 1586 1708 2219 3172 4121 4438 5551 8242 8876 11102 16484 19337 22204 28847 38674 57694 77348 115388 135359 251381 270718 285667 502762 541436 571334 1005524 1142668 1759667 1999669 3519334 3713671 3999338 7038668 7427342 7998676 14854684 17425687 25995697 34851374 51991394 69702748 90556439 103982788 121979809 181112878 226533931 243959618 362225756 453067862 487919236 633895073 906135724 1177233707 1267790146 1585737517 2354467414 2535580292 3171475034 4708934828 5523942779 6342950068 8240635949 11047885558 16481271898 22095771116 32962543796 38667599453 71811256127 77335198906 143622512254 154670397812 287245024508 502678792889 1005357585778 2010715171556