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30263939530368 = 273997194940559
BaseRepresentation
bin1101110000110010111110…
…10111010111111010000000
310222011012111222111010102220
412320121133113113322000
512431321022004432433
6144211021211211040
76242332430363205
oct670313727277200
9128135458433386
1030263939530368
119708956981835
123489430146a80
1313b6b5342735b
14768ad5213cac
1537737b77e2b3
hex1b865f5d7e80

30263939530368 has 128 divisors (see below), whose sum is σ = 80512492320000. Its totient is φ = 10072442376192.

The previous prime is 30263939530361. The next prime is 30263939530397. The reversal of 30263939530368 is 86303593936203.

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

It is a super-3 number, since 3×302639395303683 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (30263939530361) 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, 746150473 + ... + 746191031.

It is an arithmetic number, because the mean of its divisors is an integer number (629003846250).

Almost surely, 230263939530368 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 30263939530368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40256246160000).

30263939530368 is an abundant number, since it is smaller than the sum of its proper divisors (50248552789632).

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

30263939530368 is a wasteful number, since it uses less digits than its factorization.

30263939530368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43522 (or 43510 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 60.

The spelling of 30263939530368 in words is "thirty trillion, two hundred sixty-three billion, nine hundred thirty-nine million, five hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 997 1949 1994 2991 3898 3988 5847 5982 7796 7976 11694 11964 15592 15952 23388 23928 31184 31904 40559 46776 47856 62368 63808 81118 93552 95712 121677 124736 127616 162236 187104 191424 243354 249472 324472 374208 382848 486708 648944 748416 973416 1297888 1943153 1946832 2595776 3886306 3893664 5191552 5829459 7772612 7787328 11658918 15545224 15574656 23317836 31090448 40437323 46635672 62180896 79049491 80874646 93271344 121311969 124361792 158098982 161749292 186542688 237148473 242623938 248723584 316197964 323498584 373085376 474296946 485247876 632395928 646997168 746170752 948593892 970495752 1264791856 1293994336 1897187784 1940991504 2529583712 2587988672 3794375568 3881983008 5059167424 5175977344 7588751136 7763966016 10118334848 15177502272 15527932032 30355004544 78812342527 157624685054 236437027581 315249370108 472874055162 630498740216 945748110324 1260997480432 1891496220648 2521994960864 3782992441296 5043989921728 7565984882592 10087979843456 15131969765184 30263939530368