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145362525263541 = 3323259390273097
BaseRepresentation
bin100001000011010011011001…
…101011101001011010110101
3201001200112002022121011212000
4201003103121223221122311
5123023104422431413131
61233054342222045513
742422044612660635
oct4103233153513265
9631615068534760
10145362525263541
114235399aa10a23
1214378293719899
136315820297011
1427c7825bb46c5
1511c132d68ace6
hex8434d9ae96b5

145362525263541 has 32 divisors (see below), whose sum is σ = 224801679563520. Its totient is φ = 92659194473472.

The previous prime is 145362525263477. The next prime is 145362525263591.

It is a happy number.

145362525263541 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 6 + 2 + 525 + 2 + 63 + 54 + 1 = 666.

145362525263541 is nontrivially palindromic in base 10.

145362525263541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145362525263541 - 26 = 145362525263477 is a prime.

It is a super-2 number, since 2×1453625252635412 (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 (145362525263591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43526296 + ... + 46746801.

It is an arithmetic number, because the mean of its divisors is an integer number (7025052486360).

Almost surely, 2145362525263541 is an apocalyptic number.

It is an amenable number.

145362525263541 is a deficient number, since it is larger than the sum of its proper divisors (79439154299979).

145362525263541 is a wasteful number, since it uses less digits than its factorization.

145362525263541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90275722 (or 90275716 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 145362525263541 in words is "one hundred forty-five trillion, three hundred sixty-two billion, five hundred twenty-five million, two hundred sixty-three thousand, five hundred forty-one".

Divisors: 1 3 9 23 27 69 207 621 2593 7779 23337 59639 70011 178917 536751 1610253 90273097 270819291 812457873 2076281231 2437373619 6228843693 18686531079 56059593237 234078140521 702234421563 2106703264689 5383797231983 6320109794067 16151391695949 48454175087847 145362525263541