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2620275916416 = 27324146361153
BaseRepresentation
bin100110001000010100100…
…111010111111010000000
3100021111101112102011212120
4212020110213113322000
5320412311113311131
65323423234324240
7360210610542024
oct46102447277200
910244345364776
102620275916416
119202864984a4
123639b1129680
13160124ab4252
1490b71920384
154825ce19496
hex262149d7e80

2620275916416 has 128 divisors (see below), whose sum is σ = 7004197559040. Its totient is φ = 867908321280.

The previous prime is 2620275916403. The next prime is 2620275916451. The reversal of 2620275916416 is 6146195720262.

It is a happy number.

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, 42817296 + ... + 42878448.

It is an arithmetic number, because the mean of its divisors is an integer number (54720293430).

Almost surely, 22620275916416 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 2620275916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502098779520).

2620275916416 is an abundant number, since it is smaller than the sum of its proper divisors (4383921642624).

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

2620275916416 is a wasteful number, since it uses less digits than its factorization.

2620275916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61874 (or 61862 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 2620275916416 in words is "two trillion, six hundred twenty billion, two hundred seventy-five million, nine hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 384 463 482 723 926 964 1389 1446 1852 1928 2778 2892 3704 3856 5556 5784 7408 7712 11112 11568 14816 15424 22224 23136 29632 30848 44448 46272 59264 61153 88896 92544 111583 122306 177792 183459 223166 244612 334749 366918 446332 489224 669498 733836 892664 978448 1338996 1467672 1785328 1956896 2677992 2935344 3570656 3913792 5355984 5870688 7141312 7827584 10711968 11741376 14282624 14737873 21423936 23482752 28313839 29475746 42847872 44213619 56627678 58951492 84941517 88427238 113255356 117902984 169883034 176854476 226510712 235805968 339766068 353708952 453021424 471611936 679532136 707417904 906042848 943223872 1359064272 1414835808 1812085696 1886447744 2718128544 2829671616 3624171392 5436257088 5659343232 6823635199 10872514176 13647270398 20470905597 27294540796 40941811194 54589081592 81883622388 109178163184 163767244776 218356326368 327534489552 436712652736 655068979104 873425305472 1310137958208 2620275916416