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13713499313568 = 253383191230189
BaseRepresentation
bin1100011110001110110001…
…0000010101010110100000
31210112222221100100002221000
43013203230100111112200
53244140221311013233
645055521123032000
72613524203610265
oct307435420252640
953488840302830
1013713499313568
11440795394148a
12165592720b600
1378623ca9b862
14355a4610d26c
1518babd920d13
hexc78ec4155a0

13713499313568 has 96 divisors (see below), whose sum is σ = 40479606619200. Its totient is φ = 4516092119808.

The previous prime is 13713499313543. The next prime is 13713499313617. The reversal of 13713499313568 is 86531399431731.

It is a happy number.

13713499313568 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 3 + 499 + 3 + 135 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 95543383 + ... + 95686806.

It is an arithmetic number, because the mean of its divisors is an integer number (421662568950).

Almost surely, 213713499313568 is an apocalyptic number.

13713499313568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13713499313568 is an abundant number, since it is smaller than the sum of its proper divisors (26766107305632).

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

13713499313568 is a wasteful number, since it uses less digits than its factorization.

13713499313568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191230291 (or 191230277 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 13713499313568 in words is "thirteen trillion, seven hundred thirteen billion, four hundred ninety-nine million, three hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3984 4482 5976 7968 8964 11952 17928 23904 35856 71712 191230189 382460378 573690567 764920756 1147381134 1529841512 1721071701 2294762268 3059683024 3442143402 4589524536 5163215103 6119366048 6884286804 9179049072 10326430206 13768573608 15872105687 18358098144 20652860412 27537147216 31744211374 41305720824 47616317061 55074294432 63488422748 82611441648 95232634122 126976845496 142848951183 165222883296 190465268244 253953690992 285697902366 380930536488 428546853549 507907381984 571395804732 761861072976 857093707098 1142791609464 1523722145952 1714187414196 2285583218928 3428374828392 4571166437856 6856749656784 13713499313568