Search a number
-
+
12396049176 = 23371034911459
BaseRepresentation
bin10111000101101110…
…01011001100011000
31011222220100112200110
423202313023030120
5200341342033201
65410014204320
7616120452030
oct134267131430
934886315613
1012396049176
115291279245
12249b4b36a0
131227221a54
148584748c0
154c84036d6
hex2e2dcb318

12396049176 has 128 divisors (see below), whose sum is σ = 35858534400. Its totient is φ = 3497800320.

The previous prime is 12396049147. The next prime is 12396049177. The reversal of 12396049176 is 67194069321.

12396049176 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 (12396049177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8495535 + ... + 8496993.

It is an arithmetic number, because the mean of its divisors is an integer number (280144800).

Almost surely, 212396049176 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 12396049176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929267200).

12396049176 is an abundant number, since it is smaller than the sum of its proper divisors (23462485224).

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

12396049176 is a wasteful number, since it uses less digits than its factorization.

12396049176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 12396049176 in words is "twelve billion, three hundred ninety-six million, forty-nine thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 491 618 721 824 982 1236 1442 1459 1473 1964 2163 2472 2884 2918 2946 3437 3928 4326 4377 5768 5836 5892 6874 8652 8754 10213 10311 11672 11784 13748 17304 17508 20426 20622 27496 30639 35016 40852 41244 50573 61278 81704 82488 101146 122556 150277 151719 202292 245112 300554 303438 354011 404584 450831 601108 606876 708022 716369 901662 1051939 1062033 1202216 1213752 1416044 1432738 1803324 2103878 2124066 2149107 2832088 2865476 3155817 3606648 4207756 4248132 4298214 5014583 5730952 6311634 8415512 8496264 8596428 10029166 12623268 15043749 17192856 20058332 25246536 30087498 40116664 60174996 73786007 120349992 147572014 221358021 295144028 442716042 516502049 590288056 885432084 1033004098 1549506147 1770864168 2066008196 3099012294 4132016392 6198024588 12396049176