Search a number
-
+
2609380673676 = 22327107157616387
BaseRepresentation
bin100101111110001011001…
…101010100100010001100
3100020110021020002111120200
4211332023031110202030
5320223002423024201
65314422151413500
7356343612523650
oct45761315244214
910213236074520
102609380673676
119166a5400357
12361870384290
1315c0a97a785a
149041a91ca60
1547d2166e386
hex25f8b35488c

2609380673676 has 144 divisors (see below), whose sum is σ = 7657136637696. Its totient is φ = 733864240512.

The previous prime is 2609380673657. The next prime is 2609380673687. The reversal of 2609380673676 is 6763760839062.

It is a happy number.

2609380673676 is a `hidden beast` number, since 260 + 9 + 3 + 8 + 0 + 6 + 7 + 367 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3925155 + ... + 4541541.

It is an arithmetic number, because the mean of its divisors is an integer number (53174559984).

Almost surely, 22609380673676 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 2609380673676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828568318848).

2609380673676 is an abundant number, since it is smaller than the sum of its proper divisors (5047755964020).

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

2609380673676 is a wasteful number, since it uses less digits than its factorization.

2609380673676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616668 (or 616663 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 2609380673676 in words is "two trillion, six hundred nine billion, three hundred eighty million, six hundred seventy-three thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 157 214 252 314 321 428 471 628 642 749 942 963 1099 1284 1413 1498 1884 1926 2198 2247 2826 2996 3297 3852 4396 4494 5652 6594 6741 8988 9891 13188 13482 16799 19782 26964 33598 39564 50397 67196 100794 117593 151191 201588 235186 302382 352779 470372 604764 616387 705558 1058337 1232774 1411116 1849161 2116674 2465548 3698322 4233348 4314709 5547483 7396644 8629418 11094966 12944127 17258836 22189932 25888254 38832381 51776508 65953409 77664762 96772759 131906818 155329524 193545518 197860227 263813636 290318277 387091036 395720454 461673863 580636554 593580681 677409313 791440908 870954831 923347726 1161273108 1187161362 1354818626 1385021589 1741909662 1846695452 2032227939 2374322724 2709637252 2770043178 3483819324 4064455878 4155064767 5540086356 6096683817 8128911756 8310129534 10354685213 12193367634 16620259068 20709370426 24386735268 31064055639 41418740852 62128111278 72482796491 93192166917 124256222556 144965592982 186384333834 217448389473 289931185964 372768667668 434896778946 652345168419 869793557892 1304690336838 2609380673676