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13880171601616 = 241779837782529
BaseRepresentation
bin1100100111111011101010…
…1100101001111011010000
31211010221011000122121102111
43021332322230221323100
53304403042412222431
645304243544355104
72631544406644315
oct311767254517320
954127130577374
1013880171601616
114471603017391
1216820a1475a94
13798b8248cbc8
1435db37c34d0c
151910c60427b1
hexc9fbab29ed0

13880171601616 has 80 divisors (see below), whose sum is σ = 29182619692800. Its totient is φ = 6371462283264.

The previous prime is 13880171601581. The next prime is 13880171601617. The reversal of 13880171601616 is 61610617108831.

It is a super-2 number, since 2×138801716016162 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13880171601616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13880171601617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107761 + ... + 5674768.

It is an arithmetic number, because the mean of its divisors is an integer number (364782746160).

Almost surely, 213880171601616 is an apocalyptic number.

13880171601616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13880171601616 is an abundant number, since it is smaller than the sum of its proper divisors (15302448091184).

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

13880171601616 is a wasteful number, since it uses less digits than its factorization.

13880171601616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7782716 (or 7782710 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 49.

The spelling of 13880171601616 in words is "thirteen trillion, eight hundred eighty billion, one hundred seventy-one million, six hundred one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 79 83 136 158 166 272 316 332 632 664 1264 1328 1343 1411 2686 2822 5372 5644 6557 10744 11288 13114 21488 22576 26228 52456 104912 111469 222938 445876 891752 1783504 7782529 15565058 31130116 62260232 124520464 132302993 264605986 529211972 614819791 645949907 1058423944 1229639582 1291899814 2116847888 2459279164 2583799628 4918558328 5167599256 9837116656 10335198512 10451936447 10981148419 20903872894 21962296838 41807745788 43924593676 51030042653 83615491576 87849187352 102060085306 167230983152 175698374704 204120170612 408240341224 816480682448 867510725101 1735021450202 3470042900404 6940085800808 13880171601616