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145360564149 = 3974796531597
BaseRepresentation
bin1000011101100000101…
…0100010111110110101
3111220012102112202100010
42013120022202332311
54340144301023044
6150435553210433
713334112260133
oct2073012427665
9456172482303
10145360564149
1156713281349
1224208b60a19
1310927335348
14706d54a753
153bab64bbb9
hex21d82a2fb5

145360564149 has 32 divisors (see below), whose sum is σ = 196644510720. Its totient is φ = 95501371392.

The previous prime is 145360564099. The next prime is 145360564169. The reversal of 145360564149 is 941465063541.

It is a happy number.

145360564149 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 145360564149 - 211 = 145360562101 is a prime.

It is a super-2 number, since 2×1453605641492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145360564098 and 145360564107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145360564169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91020219 + ... + 91021815.

It is an arithmetic number, because the mean of its divisors is an integer number (6145140960).

Almost surely, 2145360564149 is an apocalyptic number.

It is an amenable number.

145360564149 is a deficient number, since it is larger than the sum of its proper divisors (51283946571).

145360564149 is a wasteful number, since it uses less digits than its factorization.

145360564149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 145360564149 in words is "one hundred forty-five billion, three hundred sixty million, five hundred sixty-four thousand, one hundred forty-nine".

Divisors: 1 3 97 291 479 653 1437 1597 1959 4791 46463 63341 139389 154909 190023 312787 464727 764963 938361 1042841 2294889 3128523 30340339 74201411 91021017 101155577 222604233 303466731 499520839 1498562517 48453521383 145360564149