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145664528311445 = 511131915768295881
BaseRepresentation
bin100001000111101100101010…
…011101110110010010010101
3201002202101121102121120202112
4201013230222131312102111
5123043031423221431240
61233445205511320405
742452625542351153
oct4107545235662225
9632671542546675
10145664528311445
114245aa85846810
1214406917980105
13633814c099370
1427d82b4d663d3
1511c9106b10665
hex847b2a776495

145664528311445 has 64 divisors (see below), whose sum is σ = 217541507016960. Its totient is φ = 92051918899200.

The previous prime is 145664528311399. The next prime is 145664528311447. The reversal of 145664528311445 is 544113825466541.

It is a happy number.

145664528311445 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 145664528311445 - 214 = 145664528295061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145664528311447) 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, 32015096 + ... + 36280785.

It is an arithmetic number, because the mean of its divisors is an integer number (3399086047140).

Almost surely, 2145664528311445 is an apocalyptic number.

It is an amenable number.

145664528311445 is a deficient number, since it is larger than the sum of its proper divisors (71876978705515).

145664528311445 is a wasteful number, since it uses less digits than its factorization.

145664528311445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68296086.

The product of its digits is 55296000, while the sum is 59.

The spelling of 145664528311445 in words is "one hundred forty-five trillion, six hundred sixty-four billion, five hundred twenty-eight million, three hundred eleven thousand, four hundred forty-five".

Divisors: 1 5 11 13 19 55 65 95 143 157 209 247 715 785 1045 1235 1727 2041 2717 2983 8635 10205 13585 14915 22451 32813 38779 112255 164065 193895 426569 2132845 68295881 341479405 751254691 887846453 1297621739 3756273455 4439232265 6488108695 9766310983 10722453317 14273839129 16869082607 48831554915 53612266585 71369195645 84345413035 117946986487 139391893121 185559908677 203726613023 589734932435 696959465605 927799543385 1018633065115 1533310824331 2240992743253 2648445969299 7666554121655 11204963716265 13242229846495 29132905662289 145664528311445