Search a number
-
+
2116052265712 = 2471137137338839
BaseRepresentation
bin11110110010101110100…
…010110010101011110000
321111021220022122210002111
4132302232202302223300
5234132133340000322
64300033451455104
7305610514326040
oct36625642625360
97437808583074
102116052265712
1174645a37a790
122a2131757494
131247098c9798
14745bb7a9720
153a09b5d4177
hex1ecae8b2af0

2116052265712 has 160 divisors (see below), whose sum is σ = 5287985832960. Its totient is φ = 796296407040.

The previous prime is 2116052265709. The next prime is 2116052265721. The reversal of 2116052265712 is 2175622506112.

It is a happy number.

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, 6075589 + ... + 6414427.

It is an arithmetic number, because the mean of its divisors is an integer number (33049911456).

Almost surely, 22116052265712 is an apocalyptic number.

2116052265712 is a gapful number since it is divisible by the number (22) 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 2116052265712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643992916480).

2116052265712 is an abundant number, since it is smaller than the sum of its proper divisors (3171933567248).

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

2116052265712 is a wasteful number, since it uses less digits than its factorization.

2116052265712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339039 (or 339033 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 2116052265712 in words is "two trillion, one hundred sixteen billion, fifty-two million, two hundred sixty-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 137 148 154 176 259 274 296 308 407 518 548 592 616 814 959 1036 1096 1232 1507 1628 1918 2072 2192 2849 3014 3256 3836 4144 5069 5698 6028 6512 7672 10138 10549 11396 12056 15344 20276 21098 22792 24112 35483 40552 42196 45584 55759 70966 81104 84392 111518 141932 168784 223036 283864 338839 390313 446072 567728 677678 780626 892144 1355356 1561252 2371873 2710712 3122504 3727229 4743746 5421424 6245008 7454458 9487492 12537043 14908916 18974984 25074086 26090603 29817832 37949968 46420943 50148172 52181206 59635664 87759301 92841886 100296344 104362412 137907473 175518602 185683772 200592688 208724824 275814946 324946601 351037204 371367544 417449648 510630373 551629892 649893202 702074408 742735088 965352311 1021260746 1103259784 1299786404 1404148816 1717574891 1930704622 2042521492 2206519568 2599572808 3435149782 3574412611 3861409244 4085042984 5199145616 6870299564 7148825222 7722818488 8170085968 12023024237 13740599128 14297650444 15445636976 18893323801 24046048474 27481198256 28595300888 37786647602 48092096948 57190601776 75573295204 96184193896 132253266607 151146590408 192368387792 264506533214 302293180816 529013066428 1058026132856 2116052265712