Search a number
-
+
3049771774944 = 2531631223159361
BaseRepresentation
bin101100011000010100100…
…100000011001111100000
3101210112222211122102011010
4230120110210003033200
5344431413033244234
610253013521220520
7433224121235466
oct54302444031740
911715884572133
103049771774944
11a76445728984
12413096491740
131917912124cb
14a78771b8836
15544e90566e9
hex2c6149033e0

3049771774944 has 96 divisors (see below), whose sum is σ = 8061401988864. Its totient is φ = 1009521377280.

The previous prime is 3049771774939. The next prime is 3049771774949. The reversal of 3049771774944 is 4494771779403.

It is an interprime number because it is at equal distance from previous prime (3049771774939) and next prime (3049771774949).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×30497717749442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3049771774949) 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, 19057824 + ... + 19217184.

It is an arithmetic number, because the mean of its divisors is an integer number (83972937384).

Almost surely, 23049771774944 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 3049771774944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030700994432).

3049771774944 is an abundant number, since it is smaller than the sum of its proper divisors (5011630213920).

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

3049771774944 is a wasteful number, since it uses less digits than its factorization.

3049771774944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160760 (or 160752 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 66.

The spelling of 3049771774944 in words is "three trillion, forty-nine billion, seven hundred seventy-one million, seven hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1223 1304 1956 2446 2608 3669 3912 4892 5216 7338 7824 9784 14676 15648 19568 29352 39136 58704 117408 159361 199349 318722 398698 478083 598047 637444 797396 956166 1196094 1274888 1594792 1912332 2392188 2549776 3189584 3824664 4784376 5099552 6379168 7649328 9568752 15298656 19137504 25975843 51951686 77927529 103903372 155855058 194898503 207806744 311710116 389797006 415613488 584695509 623420232 779594012 831226976 1169391018 1246840464 1559188024 2338782036 2493680928 3118376048 4677564072 6236752096 9355128144 18710256288 31768455989 63536911978 95305367967 127073823956 190610735934 254147647912 381221471868 508295295824 762442943736 1016590591648 1524885887472 3049771774944