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13403428191 = 3219295961751
BaseRepresentation
bin11000111101110100…
…00001010101011111
31021121002220200220100
430132322001111133
5204422234200231
610054001552143
7653102155056
oct143672012537
937532820810
1013403428191
115758981a8a
122720945653
131357b437ca
1491218339d
15536a911e6
hex31ee8155f

13403428191 has 96 divisors (see below), whose sum is σ = 21820032000. Its totient is φ = 7892640000.

The previous prime is 13403428151. The next prime is 13403428193. The reversal of 13403428191 is 19182430431.

13403428191 is a `hidden beast` number, since 1 + 3 + 40 + 3 + 428 + 191 = 666.

It is not a de Polignac number, because 13403428191 - 26 = 13403428127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13403428193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17847066 + ... + 17847816.

It is an arithmetic number, because the mean of its divisors is an integer number (227292000).

Almost surely, 213403428191 is an apocalyptic number.

13403428191 is a deficient number, since it is larger than the sum of its proper divisors (8416603809).

13403428191 is a wasteful number, since it uses less digits than its factorization.

13403428191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13403428191 in words is "thirteen billion, four hundred three million, four hundred twenty-eight thousand, one hundred ninety-one".

Divisors: 1 3 9 19 29 57 59 61 87 171 177 183 261 531 549 551 751 1121 1159 1653 1711 1769 2253 3363 3477 3599 4959 5133 5307 6759 10089 10431 10797 14269 15399 15921 21779 32391 32509 33611 42807 44309 45811 65337 68381 97527 100833 104371 128421 132927 137433 196011 205143 292581 302499 313113 398781 412299 413801 615429 841871 870409 939339 1241403 1284961 1328519 1983049 2525613 2611227 2702849 3724209 3854883 3985557 5949147 7576839 7833681 8108547 11564649 11956671 17847441 24325641 24414259 25241861 51354131 73242777 75725583 78382621 154062393 219728331 227176749 235147863 462187179 705443589 1489269799 4467809397 13403428191