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13329923250 = 23537351817
BaseRepresentation
bin11000110101000011…
…00111110010110010
31021101222121021002010
430122201213302302
5204244430021000
610042414303350
7651220323000
oct143241476262
937358537063
1013329923250
1157204376a6
1227001b7b56
131345848867
149064cba70
155303c1d50
hex31a867cb2

13329923250 has 128 divisors (see below), whose sum is σ = 38801318400. Its totient is φ = 3046780800.

The previous prime is 13329923249. The next prime is 13329923251. The reversal of 13329923250 is 5232992331.

13329923250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13329923249) and next prime (13329923251).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13329923199 and 13329923208.

It is not an unprimeable number, because it can be changed into a prime (13329923251) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 231342 + ... + 283158.

It is an arithmetic number, because the mean of its divisors is an integer number (303135300).

Almost surely, 213329923250 is an apocalyptic number.

13329923250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13329923250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19400659200).

13329923250 is an abundant number, since it is smaller than the sum of its proper divisors (25471395150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13329923250 is an equidigital number, since it uses as much as digits as its factorization.

13329923250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51858 (or 51834 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 13329923250 in words is "thirteen billion, three hundred twenty-nine million, nine hundred twenty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 125 147 150 175 210 245 250 294 343 350 375 490 525 686 735 750 875 1029 1050 1225 1470 1715 1750 2058 2450 2625 3430 3675 5145 5250 6125 7350 8575 10290 12250 17150 18375 25725 36750 42875 51450 51817 85750 103634 128625 155451 257250 259085 310902 362719 518170 725438 777255 1088157 1295425 1554510 1813595 2176314 2539033 2590850 3627190 3886275 5078066 5440785 6477125 7617099 7772550 9067975 10881570 12695165 12954250 15234198 17773231 18135950 19431375 25390330 27203925 35546462 38085495 38862750 45339875 53319693 54407850 63475825 76170990 88866155 90679750 106639386 126951650 136019625 177732310 190427475 266598465 272039250 317379125 380854950 444330775 533196930 634758250 888661550 952137375 1332992325 1904274750 2221653875 2665984650 4443307750 6664961625 13329923250