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3117266644096 = 271123745112919
BaseRepresentation
bin101101010111001011100…
…100100010110010000000
3102001000012200011000112201
4231113023210202302000
5402033130230102341
610344015202402544
7441133526166613
oct55271344426200
912030180130481
103117266644096
11aa2030832080
12424192360454
13197c596521c7
14aac3b20617a
1556149776331
hex2d5cb922c80

3117266644096 has 128 divisors (see below), whose sum is σ = 7070791449600. Its totient is φ = 1355046528000.

The previous prime is 3117266644069. The next prime is 3117266644103. The reversal of 3117266644096 is 6904466627113.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241286725 + ... + 241299643.

It is an arithmetic number, because the mean of its divisors is an integer number (55240558200).

Almost surely, 23117266644096 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 3117266644096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535395724800).

3117266644096 is an abundant number, since it is smaller than the sum of its proper divisors (3953524805504).

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

3117266644096 is a wasteful number, since it uses less digits than its factorization.

3117266644096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20418 (or 20406 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 3117266644096 in words is "three trillion, one hundred seventeen billion, two hundred sixty-six million, six hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 7451 8096 12919 14902 16192 25838 29804 32384 51676 59608 81961 103352 119216 142109 163922 171373 206704 238432 284218 297137 327844 342746 413408 476864 568436 594274 655688 685492 826816 953728 1136872 1188548 1311376 1370984 1653632 1885103 2273744 2377096 2622752 2741968 3268507 3770206 4547488 4754192 5245504 5483936 6537014 7540412 9094976 9508384 10491008 10967872 13074028 15080824 18189952 19016768 21935744 26148056 30161648 38033536 52296112 60323296 96259469 104592224 120646592 192518938 209184448 241293184 385037876 418368896 770075752 1058854159 1540151504 2117708318 2213967787 3080303008 4235416636 4427935574 6160606016 8470833272 8855871148 12321212032 16941666544 17711742296 24353645657 33883333088 35423484592 48707291314 67766666176 70846969184 97414582628 135533332352 141693938368 194829165256 283387876736 389658330512 779316661024 1558633322048 3117266644096