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145646080646541 = 31011916438574567
BaseRepresentation
bin100001000111011011011110…
…111001100101110110001101
3201002200121222210002002221020
4201013123132321211312031
5123042231133121142131
61233432515154024353
742451403436653436
oct4107333671456615
9632617883062836
10145646080646541
11424531795a3062
12144032298780b9
13633649c1a8c07
1427d7444cc848d
1511c88c72ca996
hex8476dee65d8d

145646080646541 has 64 divisors (see below), whose sum is σ = 197724571140096. Its totient is φ = 95351668416000.

The previous prime is 145646080646519. The next prime is 145646080646669.

145646080646541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145646080646541 - 210 = 145646080645517 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145646080646141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31890972240 + ... + 31890976806.

It is an arithmetic number, because the mean of its divisors is an integer number (3089446424064).

Almost surely, 2145646080646541 is an apocalyptic number.

It is an amenable number.

145646080646541 is a deficient number, since it is larger than the sum of its proper divisors (52078490493555).

145646080646541 is a wasteful number, since it uses less digits than its factorization.

145646080646541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362.

The product of its (nonzero) digits is 66355200, while the sum is 60.

The spelling of 145646080646541 in words is "one hundred forty-five trillion, six hundred forty-six billion, eighty million, six hundred forty-six thousand, five hundred forty-one".

Divisors: 1 3 101 191 303 573 643 857 1929 2571 4567 13701 19291 57873 64943 86557 122813 163687 194829 259671 368439 461267 491061 551051 872297 1383801 1653153 2616891 2936581 3913919 8809743 11741757 12404113 16532387 37212339 49597161 55656151 88101997 105250741 166968453 264305991 296594681 315752223 395305819 560886971 747558529 889784043 1185917457 1682660913 2242675587 2516649917 7549949751 10630324841 31890974523 56649584071 75503411429 169948752213 226510234287 254181641617 480680134147 762544924851 1442040402441 48548693548847 145646080646541