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14713841665776 = 24311298863108421
BaseRepresentation
bin1101011000011101010101…
…0011100100011011110000
31221002121222220221211100110
43112013111103210123300
53412032421431301101
651143240123221320
73046016466401601
oct326072523443360
957077886854313
1014713841665776
114763118038690
121797783977840
13829680c73566
1438c221bd1da8
151a7b1a25ecd6
hexd61d54e46f0

14713841665776 has 160 divisors (see below), whose sum is σ = 42901388421120. Its totient is φ = 4304464819200.

The previous prime is 14713841665759. The next prime is 14713841665781. The reversal of 14713841665776 is 67756614831741.

14713841665776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135656046 + ... + 135764466.

It is an arithmetic number, because the mean of its divisors is an integer number (268133677632).

Almost surely, 214713841665776 is an apocalyptic number.

14713841665776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14713841665776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450694210560).

14713841665776 is an abundant number, since it is smaller than the sum of its proper divisors (28187546755344).

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

14713841665776 is a wasteful number, since it uses less digits than its factorization.

14713841665776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117335 (or 117329 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 66.

The spelling of 14713841665776 in words is "fourteen trillion, seven hundred thirteen billion, eight hundred forty-one million, six hundred sixty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3828 5104 7656 8863 15312 17726 26589 35452 53178 70904 97493 106356 108421 141808 194986 212712 216842 257027 292479 325263 389972 425424 433684 514054 584958 650526 771081 779944 867368 1028108 1169916 1192631 1301052 1542162 1559888 1734736 2056216 2339832 2385262 2602104 2827297 3084324 3144209 3577893 4112432 4679664 4770524 5204208 5654594 6168648 6288418 7155786 8481891 9432627 9541048 11309188 12337296 12576836 14311572 16963782 18865254 19082096 22618376 25153672 28623144 33927564 34586299 37730508 45236752 50307344 57246288 67855128 69172598 75461016 103758897 135710256 138345196 150922032 207517794 276690392 415035588 553380784 830071176 960935323 1660142352 1921870646 2882805969 3843741292 5765611938 7687482584 10570288553 11531223876 15374965168 21140577106 23062447752 27867124367 31710865659 42281154212 46124895504 55734248734 63421731318 83601373101 84562308424 111468497468 126843462636 167202746202 169124616848 222936994936 253686925272 306538368037 334405492404 445873989872 507373850544 613076736074 668810984808 919615104111 1226153472148 1337621969616 1839230208222 2452306944296 3678460416444 4904613888592 7356920832888 14713841665776