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29165905863749 = 1716015413197969
BaseRepresentation
bin1101010000110101101110…
…11101010110010001000101
310211021020022010102110000102
412220122313131112101011
512310323233400114444
6142010344315053445
76100111223251064
oct650326735262105
9124236263373012
1029165905863749
119325211563156
12333066aa41285
131337443b39575
1472b8ccd601db
15358a1374084e
hex1a86b7756445

29165905863749 has 16 divisors (see below), whose sum is σ = 30906701048880. Its totient is φ = 27427912089600.

The previous prime is 29165905863733. The next prime is 29165905863767. The reversal of 29165905863749 is 94736850956192.

It can be written as a sum of positive squares in 8 ways, for example, as 94668213124 + 29071237650625 = 307682^2 + 5391775^2 .

It is a cyclic number.

It is not a de Polignac number, because 29165905863749 - 24 = 29165905863733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29165905863709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147226637 + ... + 147424605.

It is an arithmetic number, because the mean of its divisors is an integer number (1931668815555).

It is a 1-persistent number, because it is pandigital, but 2⋅29165905863749 = 58331811727498 is not.

Almost surely, 229165905863749 is an apocalyptic number.

It is an amenable number.

29165905863749 is a deficient number, since it is larger than the sum of its proper divisors (1740795185131).

29165905863749 is a wasteful number, since it uses less digits than its factorization.

29165905863749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205000.

The product of its (nonzero) digits is 881798400, while the sum is 74.

The spelling of 29165905863749 in words is "twenty-nine trillion, one hundred sixty-five billion, nine hundred five million, eight hundred sixty-three thousand, seven hundred forty-nine".

Divisors: 1 17 1601 5413 27217 92021 197969 3365473 8666213 147325621 316948369 1071606197 5388122273 18217305349 1715641521397 29165905863749