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3116113255136 = 257279227110819
BaseRepresentation
bin101101010110000110110…
…100101101101011100000
3102000220020021211210100002
4231112012310231223200
5402023244443131021
610343304521315132
7441063122432600
oct55260664555340
912026207753302
103116113255136
11aa1599771962
12423b10035aa8
13197b046ca72b
14aab6bd6ac00
15560cd39650b
hex2d586d2dae0

3116113255136 has 144 divisors (see below), whose sum is σ = 7258692268800. Its totient is φ = 1312751801088.

The previous prime is 3116113255133. The next prime is 3116113255163. The reversal of 3116113255136 is 6315523116113.

3116113255136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3116113255136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116113255133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28063535 + ... + 28174353.

It is an arithmetic number, because the mean of its divisors is an integer number (50407585200).

Almost surely, 23116113255136 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 3116113255136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629346134400).

3116113255136 is an abundant number, since it is smaller than the sum of its proper divisors (4142579013664).

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

3116113255136 is a wasteful number, since it uses less digits than its factorization.

3116113255136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111149 (or 111134 counting only the distinct ones).

The product of its digits is 48600, while the sum is 38.

The spelling of 3116113255136 in words is "three trillion, one hundred sixteen billion, one hundred thirteen million, two hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 79 98 112 158 196 224 227 316 392 454 553 632 784 908 1106 1264 1568 1589 1816 2212 2528 3178 3632 3871 4424 6356 7264 7742 8848 11123 12712 15484 17696 17933 22246 25424 30968 35866 44492 50848 61936 71732 88984 110819 123872 125531 143464 177968 221638 251062 286928 355936 443276 502124 573856 775733 878717 886552 1004248 1551466 1757434 1773104 2008496 3102932 3514868 3546208 4016992 5430131 6205864 7029736 8754701 10860262 12411728 14059472 17509402 21720524 24823456 25155913 28118944 35018804 43441048 50311826 61282907 70037608 86882096 100623652 122565814 140075216 173764192 176091391 201247304 245131628 280150432 352182782 402494608 428980349 490263256 704365564 804989216 857960698 980526512 1232639737 1408731128 1715921396 1961053024 1987317127 2465279474 2817462256 3431842792 3974634254 4930558948 5634924512 6863685584 7949268508 9861117896 13727371168 13911219889 15898537016 19722235792 27822439778 31797074032 39444471584 55644879556 63594148064 97378539223 111289759112 194757078446 222579518224 389514156892 445159036448 779028313784 1558056627568 3116113255136