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13668655488 = 273732831723
BaseRepresentation
bin11001011101011011…
…10010000110000000
31022021120222122100120
430232231302012000
5210443133433423
610140154420240
7662502440355
oct145655620600
938246878316
1013668655488
1158846661a4
122795731680
13139aa88137
149394a462c
1554eed1ee3
hex32eb72180

13668655488 has 128 divisors (see below), whose sum is σ = 36956215680. Its totient is φ = 4475326464.

The previous prime is 13668655471. The next prime is 13668655513. The reversal of 13668655488 is 88455686631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7932195 + ... + 7933917.

It is an arithmetic number, because the mean of its divisors is an integer number (288720435).

Almost surely, 213668655488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13668655488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18478107840).

13668655488 is an abundant number, since it is smaller than the sum of its proper divisors (23287560192).

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

13668655488 is a wasteful number, since it uses less digits than its factorization.

13668655488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2084 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 60.

The spelling of 13668655488 in words is "thirteen billion, six hundred sixty-eight million, six hundred fifty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 283 292 384 438 566 584 849 876 1132 1168 1698 1723 1752 2264 2336 3396 3446 3504 4528 4672 5169 6792 6892 7008 9056 9344 10338 13584 13784 14016 18112 20659 20676 27168 27568 28032 36224 41318 41352 54336 55136 61977 82636 82704 108672 110272 123954 125779 165272 165408 220544 247908 251558 330544 330816 377337 487609 495816 503116 661088 661632 754674 975218 991632 1006232 1322176 1462827 1509348 1950436 1983264 2012464 2644352 2925654 3018696 3900872 3966528 4024928 5851308 6037392 7801744 7933056 8049856 11702616 12074784 15603488 16099712 23405232 24149568 31206976 35595457 46810464 48299136 62413952 71190914 93620928 106786371 142381828 187241856 213572742 284763656 427145484 569527312 854290968 1139054624 1708581936 2278109248 3417163872 4556218496 6834327744 13668655488