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153940001617 is a prime number
BaseRepresentation
bin1000111101011110001…
…0100000001101010001
3112201100100021100000101
42033113202200031101
510010232120022432
6154415152252401
714056530265303
oct2172742401521
9481310240011
10153940001617
115a316132736
1225a02241101
131169392486c
147644b67973
15400e9524e7
hex23d78a0351

153940001617 has 2 divisors, whose sum is σ = 153940001618. Its totient is φ = 153940001616.

The previous prime is 153940001603. The next prime is 153940001623. The reversal of 153940001617 is 716100049351.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153907920721 + 32080896 = 392311^2 + 5664^2 .

It is a cyclic number.

It is not a de Polignac number, because 153940001617 - 235 = 119580263249 is a prime.

It is a super-2 number, since 2×1539400016172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (153940001687) 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, 76970000808 + 76970000809.

It is an arithmetic number, because the mean of its divisors is an integer number (76970000809).

Almost surely, 2153940001617 is an apocalyptic number.

It is an amenable number.

153940001617 is a deficient number, since it is larger than the sum of its proper divisors (1).

153940001617 is an equidigital number, since it uses as much as digits as its factorization.

153940001617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 153940001617 in words is "one hundred fifty-three billion, nine hundred forty million, one thousand, six hundred seventeen".