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19291369301696 = 265376923093203
BaseRepresentation
bin1000110001011100111110…
…01101101110011011000000
32112022020101200210012121002
410120232133031232123000
510012032211020123241
6105010155510551132
74030520054331422
oct430563715563300
975266350705532
1019291369301696
116168473056028
1221b69686684a8
13a9c225a4a32b
144a99c89d4812
15236c2d24e89b
hex118b9f36e6c0

19291369301696 has 112 divisors (see below), whose sum is σ = 39083432018400. Its totient is φ = 9444341317632.

The previous prime is 19291369301693. The next prime is 19291369301801. The reversal of 19291369301696 is 69610396319291.

It is not an unprimeable number, because it can be changed into a prime (19291369301693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6022904831 + ... + 6022908033.

It is an arithmetic number, because the mean of its divisors is an integer number (348959214450).

Almost surely, 219291369301696 is an apocalyptic number.

19291369301696 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 19291369301696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19541716009200).

19291369301696 is an abundant number, since it is smaller than the sum of its proper divisors (19792062716704).

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

19291369301696 is a wasteful number, since it uses less digits than its factorization.

19291369301696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 65.

The spelling of 19291369301696 in words is "nineteen trillion, two hundred ninety-one billion, three hundred sixty-nine million, three hundred one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 769 848 1538 1696 2309 3076 3203 3392 4618 6152 6406 9236 12304 12812 18472 24608 25624 36944 40757 49216 51248 73888 81514 102496 122377 147776 163028 169759 204992 244754 326056 339518 489508 652112 679036 979016 1304224 1358072 1775621 1958032 2463107 2608448 2716144 3551242 3916064 4926214 5432288 7102484 7395727 7832128 9852428 10864576 14204968 14791454 19704856 28409936 29582908 39409712 56819872 59165816 78819424 94107913 113639744 118331632 130544671 157638848 188215826 236663264 261089342 376431652 391973531 473326528 522178684 752863304 783947062 1044357368 1505726608 1567894124 2088714736 3011453216 3135788248 4177429472 5687314063 6022906432 6271576496 8354858944 11374628126 12543152992 22749256252 25086305984 45498512504 90997025008 181994050016 301427645339 363988100032 602855290678 1205710581356 2411421162712 4822842325424 9645684650848 19291369301696