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153145586431 is a prime number
BaseRepresentation
bin1000111010100000110…
…0000011001011111111
3112122021222102212020201
42032220030003023333
510002120232231211
6154204253224331
714031043002115
oct2165014031377
9478258385221
10153145586431
1159a48766862
12258201920a7
13115981789c6
1475ab453ab5
153eb4d300c1
hex23a83032ff

153145586431 has 2 divisors, whose sum is σ = 153145586432. Its totient is φ = 153145586430.

The previous prime is 153145586339. The next prime is 153145586443. The reversal of 153145586431 is 134685541351.

153145586431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 153145586431 - 27 = 153145586303 is a prime.

It is a super-2 number, since 2×1531455864312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153145586131) 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 as a sum of consecutive naturals, namely, 76572793215 + 76572793216.

It is an arithmetic number, because the mean of its divisors is an integer number (76572793216).

Almost surely, 2153145586431 is an apocalyptic number.

153145586431 is a deficient number, since it is larger than the sum of its proper divisors (1).

153145586431 is an equidigital number, since it uses as much as digits as its factorization.

153145586431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864000, while the sum is 46.

The spelling of 153145586431 in words is "one hundred fifty-three billion, one hundred forty-five million, five hundred eighty-six thousand, four hundred thirty-one".