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252468235803 = 37431012768201
BaseRepresentation
bin1110101100100001000…
…1111000111000011011
3220010122221112020010010
43223020101320320123
513114023332021203
6311552102253003
724145253411340
oct3531021707033
9803587466103
10252468235803
1198086812353
1240b1b127163
131aa66549354
14c3105547c7
15687986d303
hex3ac8478e1b

252468235803 has 32 divisors (see below), whose sum is σ = 397558098432. Its totient is φ = 139517280000.

The previous prime is 252468235801. The next prime is 252468235813. The reversal of 252468235803 is 308532864252.

252468235803 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252468235803 - 21 = 252468235801 is a prime.

It is a super-2 number, since 2×2524682358032 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252468235801) 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 31 ways as a sum of consecutive naturals, for example, 1292898 + ... + 1475303.

It is an arithmetic number, because the mean of its divisors is an integer number (12423690576).

Almost surely, 2252468235803 is an apocalyptic number.

252468235803 is a deficient number, since it is larger than the sum of its proper divisors (145089862629).

252468235803 is a wasteful number, since it uses less digits than its factorization.

252468235803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768355.

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 252468235803 in words is "two hundred fifty-two billion, four hundred sixty-eight million, two hundred thirty-five thousand, eight hundred three".

Divisors: 1 3 7 21 43 101 129 301 303 707 903 2121 4343 13029 30401 91203 2768201 8304603 19377407 58132221 119032643 279588301 357097929 833228501 838764903 1957118107 2499685503 5871354321 12022296943 36066890829 84156078601 252468235803