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13414089672 = 2333109756611
BaseRepresentation
bin11000111111000101…
…01100001111001000
31021121211222100201000
430133202230033020
5204433001332142
610055022255000
7653261611104
oct143742541710
937554870630
1013414089672
1157639a4125
122724427460
13135a107489
1491375a904
1553799a14c
hex31f8ac3c8

13414089672 has 64 divisors (see below), whose sum is σ = 37295985600. Its totient is φ = 4467208320.

The previous prime is 13414089671. The next prime is 13414089709. The reversal of 13414089672 is 27698041431.

13414089672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13414089671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208647 + ... + 265257.

It is an arithmetic number, because the mean of its divisors is an integer number (582749775).

Almost surely, 213414089672 is an apocalyptic number.

13414089672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13414089672 is an abundant number, since it is smaller than the sum of its proper divisors (23881895928).

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

13414089672 is a wasteful number, since it uses less digits than its factorization.

13414089672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57723 (or 57713 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13414089672 in words is "thirteen billion, four hundred fourteen million, eighty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1097 2194 3291 4388 6582 8776 9873 13164 19746 26328 29619 39492 56611 59238 78984 113222 118476 169833 226444 236952 339666 452888 509499 679332 1018998 1358664 1528497 2037996 3056994 4075992 6113988 12227976 62102267 124204534 186306801 248409068 372613602 496818136 558920403 745227204 1117840806 1490454408 1676761209 2235681612 3353522418 4471363224 6707044836 13414089672