Search a number
-
+
2066860958300 = 2252195571953001
BaseRepresentation
bin11110000100111010100…
…000110110001001011100
321022120221002112110010222
4132010322200312021130
5232330412401131200
64221300335220512
7302216512162445
oct36047240661134
97276832473128
102066860958300
11727607145416
122946a3677738
1311cb9a5643a8
14720726282cc
1538b6cc31d85
hex1e13a83625c

2066860958300 has 72 divisors (see below), whose sum is σ = 4729624003440. Its totient is φ = 781824960000.

The previous prime is 2066860958293. The next prime is 2066860958363. The reversal of 2066860958300 is 38590686602.

It is a super-4 number, since 4×20668609583004 (a number of 50 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81800 + ... + 2034800.

It is an arithmetic number, because the mean of its divisors is an integer number (65689222270).

Almost surely, 22066860958300 is an apocalyptic number.

2066860958300 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 2066860958300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364812001720).

2066860958300 is an abundant number, since it is smaller than the sum of its proper divisors (2662763045140).

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

2066860958300 is a wasteful number, since it uses less digits than its factorization.

2066860958300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953591 (or 1953584 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 2066860958300 in words is "two trillion, sixty-six billion, eight hundred sixty million, nine hundred fifty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 557 950 1114 1900 2228 2785 5570 10583 11140 13925 21166 27850 42332 52915 55700 105830 211660 264575 529150 1058300 1953001 3906002 7812004 9765005 19530010 37107019 39060020 48825025 74214038 97650050 148428076 185535095 195300100 371070190 742140380 927675475 1087821557 1855350950 2175643114 3710701900 4351286228 5439107785 10878215570 20668609583 21756431140 27195538925 41337219166 54391077850 82674438332 103343047915 108782155700 206686095830 413372191660 516715239575 1033430479150 2066860958300