Search a number
-
+
2010215000060 = 2251797261723291
BaseRepresentation
bin11101010000001010001…
…001101010011111111100
321010011201100011121201122
4131100022021222133330
5230413410020000220
64135251403530112
7265143000400241
oct35201211523774
97104640147648
102010215000060
11705588a635a3
12285714b29938
1311774095b4c7
146d41b3bb5c8
1537454ba9425
hex1d40a26a7fc

2010215000060 has 96 divisors (see below), whose sum is σ = 4517771848128. Its totient is φ = 748666552320.

The previous prime is 2010215000047. The next prime is 2010215000081. The reversal of 2010215000060 is 600005120102.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86297015 + ... + 86320305.

It is an arithmetic number, because the mean of its divisors is an integer number (47060123418).

Almost surely, 22010215000060 is an apocalyptic number.

2010215000060 is a gapful number since it is divisible by the number (20) 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 2010215000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258885924064).

2010215000060 is an abundant number, since it is smaller than the sum of its proper divisors (2507556848068).

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

2010215000060 is a wasteful number, since it uses less digits than its factorization.

2010215000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26031 (or 26029 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The spelling of 2010215000060 in words is "two trillion, ten billion, two hundred fifteen million, sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1649 1940 2617 3298 5234 6596 8245 10468 13085 16490 23291 26170 32980 44489 46582 52340 88978 93164 116455 177956 222445 232910 253849 395947 444890 465820 507698 791894 889780 1015396 1269245 1583788 1979735 2259227 2538490 3959470 4315433 4518454 5076980 7918940 8630866 9036908 11296135 17261732 21577165 22592270 38406859 43154330 45184540 60952547 76813718 86308660 121905094 153627436 192034295 243810188 304762735 384068590 609525470 768137180 1036193299 1219050940 2072386598 4144773196 5180966495 5912397059 10361932990 11824794118 20723865980 23649588236 29561985295 59123970590 100510750003 118247941180 201021500006 402043000012 502553750015 1005107500030 2010215000060