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13893039831 = 3112293753673
BaseRepresentation
bin11001111000001011…
…01111011011010111
31022212020012112210210
430330011233123113
5211423104233311
610214332020503
71001165614206
oct147405573327
938766175723
1013893039831
11598a293500
122838901733
1314053cc338
1495b1d323d
15564a563a6
hex33c16f6d7

13893039831 has 96 divisors (see below), whose sum is σ = 22073446080. Its totient is φ = 7749181440.

The previous prime is 13893039817. The next prime is 13893039851.

13893039831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13893039831 - 213 = 13893031639 is a prime.

It is a super-2 number, since 2×138930398312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13893039851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20643111 + ... + 20643783.

It is an arithmetic number, because the mean of its divisors is an integer number (229931730).

Almost surely, 213893039831 is an apocalyptic number.

13893039831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13893039831 is a deficient number, since it is larger than the sum of its proper divisors (8180406249).

13893039831 is a wasteful number, since it uses less digits than its factorization.

13893039831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 13893039831 in words is "thirteen billion, eight hundred ninety-three million, thirty-nine thousand, eight hundred thirty-one".

Divisors: 1 3 11 29 33 37 53 87 111 121 159 319 363 407 583 673 957 1073 1221 1537 1749 1961 2019 3219 3509 4477 4611 5883 6413 7403 10527 11803 13431 16907 19239 19517 21571 22209 24901 35409 35669 50721 56869 58551 64713 74703 81433 107007 129833 170607 185977 214687 237281 244299 273911 389499 392359 557931 625559 644061 711843 722129 821733 1034401 1177077 1319753 1876677 2166387 2361557 3013021 3103203 3959259 4315949 6881149 7084671 7943419 9039063 11378411 12947847 14517283 20643447 23830257 34135233 38272837 43551849 87377609 114818511 125162521 159690113 262132827 375487563 421001207 479070339 1263003621 4631013277 13893039831