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252032267361 = 3712001536541
BaseRepresentation
bin1110101010111001001…
…0110011010001100001
3220002112120011201211210
43222232102303101201
513112130230023421
6311440530100333
724131410632330
oct3525622632141
9802476151753
10252032267361
119798270a856
1240a1911a6a9
131a9c7123264
14c2ac6a9d17
156851452576
hex3aae4b3461

252032267361 has 8 divisors (see below), whose sum is σ = 384049169344. Its totient is φ = 144018438480.

The previous prime is 252032267359. The next prime is 252032267413. The reversal of 252032267361 is 163762230252.

252032267361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 252032267361 - 21 = 252032267359 is a prime.

It is a super-2 number, since 2×2520322673612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252032267321) 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 in 7 ways as a sum of consecutive naturals, for example, 6000768250 + ... + 6000768291.

It is an arithmetic number, because the mean of its divisors is an integer number (48006146168).

Almost surely, 2252032267361 is an apocalyptic number.

252032267361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

252032267361 is a deficient number, since it is larger than the sum of its proper divisors (132016901983).

252032267361 is a wasteful number, since it uses less digits than its factorization.

252032267361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12001536551.

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 252032267361 in words is "two hundred fifty-two billion, thirty-two million, two hundred sixty-seven thousand, three hundred sixty-one".

Divisors: 1 3 7 21 12001536541 36004609623 84010755787 252032267361