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32144425025 = 5297173193397
BaseRepresentation
bin11101111011111101…
…010000000001000001
310001222012101222111012
4131323331100001001
51011312433100100
622433354330305
72215366050566
oct357375200101
9101865358435
1032144425025
11126a5765319
126291129995
13305373894b
1417ad17a86d
15c82019135
hex77bf50041

32144425025 has 48 divisors (see below), whose sum is σ = 40815189744. Its totient is φ = 25108807680.

The previous prime is 32144425013. The next prime is 32144425081. The reversal of 32144425025 is 52052444123.

It can be written as a sum of positive squares in 24 ways, for example, as 15298721344 + 16845703681 = 123688^2 + 129791^2 .

It is not a de Polignac number, because 32144425025 - 222 = 32140230721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32144424982 and 32144425000.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 80968127 + ... + 80968523.

It is an arithmetic number, because the mean of its divisors is an integer number (850316453).

Almost surely, 232144425025 is an apocalyptic number.

It is an amenable number.

32144425025 is a deficient number, since it is larger than the sum of its proper divisors (8670764719).

32144425025 is a wasteful number, since it uses less digits than its factorization.

32144425025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 32144425025 its reverse (52052444123), we get a palindrome (84196869148).

The spelling of 32144425025 in words is "thirty-two billion, one hundred forty-four million, four hundred twenty-five thousand, twenty-five".

Divisors: 1 5 25 97 173 193 397 485 865 965 1985 2425 4325 4825 9925 16781 18721 33389 38509 68681 76621 83905 93605 166945 192545 343405 383105 419525 468025 834725 962725 1717025 1915525 3238733 6662057 7432237 13255433 16193665 33310285 37161185 66277165 80968325 166551425 185805925 331385825 1285777001 6428885005 32144425025