Search a number
-
+
611066500050 = 235214973936997
BaseRepresentation
bin10001110010001100110…
…01101101001111010010
32011102021021102111122110
420321012121231033102
540002431011000200
61144415311450150
762101540356366
oct10710631551722
92142237374573
10611066500050
11216174121906
129a518b26956
13458145995a6
142180bd052a6
1510d66695b50
hex8e4666d3d2

611066500050 has 96 divisors (see below), whose sum is σ = 1527721416000. Its totient is φ = 161634044160.

The previous prime is 611066500039. The next prime is 611066500127. The reversal of 611066500050 is 50005660116.

611066500050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 611066499990 and 611066500017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16498152 + ... + 16535148.

It is an arithmetic number, because the mean of its divisors is an integer number (15913764750).

Almost surely, 2611066500050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 611066500050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763860708000).

611066500050 is an abundant number, since it is smaller than the sum of its proper divisors (916654915950).

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

611066500050 is a wasteful number, since it uses less digits than its factorization.

611066500050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37900 (or 37895 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 611066500050 in words is "six hundred eleven billion, sixty-six million, five hundred thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 149 150 298 447 739 745 894 1478 1490 2217 2235 3695 3725 4434 4470 7390 7450 11085 11175 18475 22170 22350 36950 36997 55425 73994 110111 110850 110991 184985 220222 221982 330333 369970 550555 554955 660666 924925 1101110 1109910 1651665 1849850 2752775 2774775 3303330 5505550 5512553 5549550 8258325 11025106 16516650 16537659 27340783 27562765 33075318 54681566 55125530 82022349 82688295 136703915 137813825 164044698 165376590 273407830 275627650 410111745 413441475 683519575 820223490 826882950 1367039150 2050558725 4073776667 4101117450 8147553334 12221330001 20368883335 24442660002 40737766670 61106650005 101844416675 122213300010 203688833350 305533250025 611066500050