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30828402260513 = 111317732512572693
BaseRepresentation
bin1110000001001110010111…
…11101110011101000100001
311001011011111100200211022022
413000213023331303220201
513020043031434314023
6145322212242351225
76331164355413404
oct700471375635041
9131134440624268
1030828402260513
119906285421520
12355a90165b515
13142814b759b20
14788161893d3b
15386db67e07c8
hex1c09cbf73a21

30828402260513 has 128 divisors (see below), whose sum is σ = 39195061000704. Its totient is φ = 23817093120000.

The previous prime is 30828402260507. The next prime is 30828402260567. The reversal of 30828402260513 is 31506220482803.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 30828402260513 - 210 = 30828402259489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30828402260503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11447604395 + ... + 11447607087.

It is an arithmetic number, because the mean of its divisors is an integer number (306211414068).

Almost surely, 230828402260513 is an apocalyptic number.

It is an amenable number.

30828402260513 is a deficient number, since it is larger than the sum of its proper divisors (8366658740191).

30828402260513 is a wasteful number, since it uses less digits than its factorization.

30828402260513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315.

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 30828402260513 in words is "thirty trillion, eight hundred twenty-eight billion, four hundred two million, two hundred sixty thousand, five hundred thirteen".

Divisors: 1 11 13 17 73 143 187 221 251 257 803 949 1241 2431 2693 2761 2827 3263 3341 4267 4369 10439 13651 16133 18323 18761 29623 35009 35893 36751 45781 46937 48059 55471 56797 64507 177463 196589 201553 206371 238199 243893 311491 318937 385099 503591 595153 610181 624767 675943 692101 709577 838591 1096619 2162479 2555657 2620189 2682823 3342013 3426401 3508307 4049383 4146181 4709011 6546683 7435373 7613111 8787259 8997313 9224501 11491031 11765717 12062809 14256047 28112227 36762143 43446169 44543213 45607991 49343839 50523373 51799121 61217143 80053187 96659849 98970443 126401341 129422887 149383403 152954321 156816517 173717351 477907859 542782229 555757103 641469907 656803849 673388573 838845263 858897341 880585057 1040691431 1643217433 1682497531 1910890861 2258325563 2953194967 7056168977 7224842339 9227297893 9447870751 10904988419 11165665433 11447605741 12681366623 24841581193 32485144637 38391534571 119954872609 122822319763 139495032853 164857766099 215583232591 422306880281 1813435427089 2371415558501 2802582023683 30828402260513