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145293320957 is a prime number
BaseRepresentation
bin1000011101010000101…
…0000010001011111101
3111220000202000110000112
42013110022002023331
54340030042232312
6150425152035405
713332334564631
oct2072412021375
9456022013015
10145293320957
1156689323564
12241aa532b65
1310916420585
147064644dc1
153ba57b7d22
hex21d42822fd

145293320957 has 2 divisors, whose sum is σ = 145293320958. Its totient is φ = 145293320956.

The previous prime is 145293320947. The next prime is 145293320971. The reversal of 145293320957 is 759023392541.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81378402361 + 63914918596 = 285269^2 + 252814^2 .

It is a cyclic number.

It is not a de Polignac number, because 145293320957 - 220 = 145292272381 is a prime.

It is a super-2 number, since 2×1452933209572 (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 (145293320947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72646660478 + 72646660479.

It is an arithmetic number, because the mean of its divisors is an integer number (72646660479).

Almost surely, 2145293320957 is an apocalyptic number.

It is an amenable number.

145293320957 is a deficient number, since it is larger than the sum of its proper divisors (1).

145293320957 is an equidigital number, since it uses as much as digits as its factorization.

145293320957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2041200, while the sum is 50.

The spelling of 145293320957 in words is "one hundred forty-five billion, two hundred ninety-three million, three hundred twenty thousand, nine hundred fifty-seven".