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16545720216448 = 273159467151337
BaseRepresentation
bin1111000011000101100111…
…0001101010101110000000
32011120202101200122011021001
43300301121301222232000
54132041113333411243
655104555434141344
73325250241224623
oct360613161525600
964522350564231
1016545720216448
1152aa000797215
121a32808281854
139303408143a7
14412b622cbdba
151da5d37b4a4d
hexf0c59c6ab80

16545720216448 has 128 divisors (see below), whose sum is σ = 34676499686400. Its totient is φ = 7853394063360.

The previous prime is 16545720216439. The next prime is 16545720216449. The reversal of 16545720216448 is 84461202754561.

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 not an unprimeable number, because it can be changed into a prime (16545720216449) 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, 109254636 + ... + 109405972.

It is an arithmetic number, because the mean of its divisors is an integer number (270910153800).

Almost surely, 216545720216448 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 16545720216448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338249843200).

16545720216448 is an abundant number, since it is smaller than the sum of its proper divisors (18130779469952).

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

16545720216448 is a wasteful number, since it uses less digits than its factorization.

16545720216448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151908 (or 151896 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 16545720216448 in words is "sixteen trillion, five hundred forty-five billion, seven hundred twenty million, two hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 128 236 248 467 472 496 934 944 992 1829 1868 1888 1984 3658 3736 3776 3968 7316 7472 7552 14477 14632 14944 27553 28954 29264 29888 55106 57908 58528 59776 110212 115816 117056 151337 220424 231632 234112 302674 440848 463264 605348 854143 881696 926528 1210696 1708286 1763392 1853056 2421392 3416572 3526784 4691447 4842784 6833144 8928883 9382894 9685568 13666288 17857766 18765788 19371136 27332576 35715532 37531576 54665152 70674379 71431064 75063152 109330304 141348758 142862128 150126304 276795373 282697516 285724256 300252608 553590746 565395032 571448512 600505216 1107181492 1130790064 1142897024 2190905749 2214362984 2261580128 4169788361 4381811498 4428725968 4523160256 8339576722 8763622996 8857451936 9046320512 16679153444 17527245992 17714903872 33358306888 35054491984 35429807744 66716613776 70108983968 129263439191 133433227552 140217967936 258526878382 266866455104 280435935872 517053756764 533732910208 1034107513528 2068215027056 4136430054112 8272860108224 16545720216448