Search a number
-
+
612254452216 = 231123331913889
BaseRepresentation
bin10001110100011010011…
…01011000100111111000
32011112100001202201122211
420322031031120213320
540012344114432331
61145133225424504
762143143655651
oct10721515304770
92145301681584
10612254452216
11216723749960
129a7aa93b134
1345973733074
14218c19ba528
1510dd5b018b1
hex8e8d3589f8

612254452216 has 64 divisors (see below), whose sum is σ = 1310737593600. Its totient is φ = 265393075200.

The previous prime is 612254452111. The next prime is 612254452217.

612254452216 is nontrivially palindromic in base 10.

612254452216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612254452217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213000 + ... + 1126888.

It is an arithmetic number, because the mean of its divisors is an integer number (20480274900).

Almost surely, 2612254452216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612254452216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655368796800).

612254452216 is an abundant number, since it is smaller than the sum of its proper divisors (698483141384).

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

612254452216 is a wasteful number, since it uses less digits than its factorization.

612254452216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914260 (or 914256 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The spelling of 612254452216 in words is "six hundred twelve billion, two hundred fifty-four million, four hundred fifty-two thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 331 506 662 1012 1324 2024 2648 3641 7282 7613 14564 15226 29128 30452 60904 83743 167486 334972 669944 913889 1827778 3655556 7311112 10052779 20105558 21019447 40211116 42038894 80422232 84077788 168155576 231213917 302497259 462427834 604994518 924855668 1209989036 1849711336 2419978072 3327469849 6654939698 6957436957 13309879396 13914873914 26619758792 27829747828 55659495656 76531806527 153063613054 306127226108 612254452216