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145325666523541 = 7717313729539901
BaseRepresentation
bin100001000010110001000100…
…101110101101100110010101
3201001112222221120101011222111
4201002301010232231212111
5123022003431112223131
61233025404535231021
742416301330601360
oct4102610456554625
9631488846334874
10145325666523541
114233a2a6136029
1214371107818471
1363121c7c579aa
1427c5b2a8a10d7
1511c03c284cab1
hex842c44bad995

145325666523541 has 64 divisors (see below), whose sum is σ = 172054764112896. Its totient is φ = 120191081472000.

The previous prime is 145325666523539. The next prime is 145325666523559.

145325666523541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145325666523541 - 21 = 145325666523539 is a prime.

It is a super-2 number, since 2×1453256665235412 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145325666523041) 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, 14677872691 + ... + 14677882591.

It is an arithmetic number, because the mean of its divisors is an integer number (2688355689264).

Almost surely, 2145325666523541 is an apocalyptic number.

It is an amenable number.

145325666523541 is a deficient number, since it is larger than the sum of its proper divisors (26729097589355).

145325666523541 is a wasteful number, since it uses less digits than its factorization.

145325666523541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13142.

The product of its digits is 77760000, while the sum is 58.

The spelling of 145325666523541 in words is "one hundred forty-five trillion, three hundred twenty-five billion, six hundred sixty-six million, five hundred twenty-three thousand, five hundred forty-one".

Divisors: 1 7 71 73 137 497 511 959 2953 5183 9727 9901 10001 20671 36281 68089 69307 70007 209663 215569 404561 702971 710071 722773 1356437 1467641 1508983 2831927 4920797 4970497 5059411 9495059 15305399 28723831 29237653 29532953 51316883 96307027 99019901 107137793 201066817 204663571 206730671 359218181 674149189 693139307 2075873363 2096839663 2134348669 4005558461 7030412971 14531113541 14677877641 14940440683 28038909227 49212890797 151538755499 284394650731 292405767653 1060771288493 1990762555117 2046840373571 20760809503363 145325666523541