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159146953 = 7237412141
BaseRepresentation
bin10010111110001…
…10001111001001
3102002110111120121
421133012033021
5311220200303
623443023241
73641504200
oct1137061711
9362414517
10159146953
118191a509
124536ab21
1326c823c4
14171ca237
15de899bd
hex97c63c9

159146953 has 24 divisors (see below), whose sum is σ = 194862024. Its totient is φ = 129427200.

The previous prime is 159146951. The next prime is 159146957. The reversal of 159146953 is 359641951.

It can be written as a sum of positive squares in 4 ways, for example, as 54125449 + 105021504 = 7357^2 + 10248^2 .

It is not a de Polignac number, because 159146953 - 21 = 159146951 is a prime.

It is not an unprimeable number, because it can be changed into a prime (159146951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73263 + ... + 75403.

It is an arithmetic number, because the mean of its divisors is an integer number (8119251).

Almost surely, 2159146953 is an apocalyptic number.

It is an amenable number.

159146953 is a deficient number, since it is larger than the sum of its proper divisors (35715071).

159146953 is a wasteful number, since it uses less digits than its factorization.

159146953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2226 counting only the distinct ones).

The product of its digits is 145800, while the sum is 43.

The square root of 159146953 is about 12615.3459326330. The cubic root of 159146953 is about 541.9170011748.

The spelling of 159146953 in words is "one hundred fifty-nine million, one hundred forty-six thousand, nine hundred fifty-three".

Divisors: 1 7 37 41 49 259 287 1517 1813 2009 2141 10619 14987 74333 79217 87781 104909 554519 614467 3247897 3881633 4301269 22735279 159146953