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13625228205 = 3256720992153
BaseRepresentation
bin11001011000010000…
…00111101110101101
31022011120021022022200
430230020013232231
5210401024300310
610132003532113
7661434346251
oct145410075655
938146238280
1013625228205
1158620a4686
12278308a039
131391a91614
149337dc261
1554b2a49c0
hex32c207bad

13625228205 has 48 divisors (see below), whose sum is σ = 23992113600. Its totient is φ = 7151595264.

The previous prime is 13625228203. The next prime is 13625228209. The reversal of 13625228205 is 50282252631.

It is a happy number.

13625228205 is a `hidden beast` number, since 1 + 3 + 625 + 2 + 2 + 8 + 20 + 5 = 666.

13625228205 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 13625228205 - 21 = 13625228203 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13625228205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13625228203) 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 47 ways as a sum of consecutive naturals, for example, 6327409 + ... + 6329561.

It is an arithmetic number, because the mean of its divisors is an integer number (499835700).

Almost surely, 213625228205 is an apocalyptic number.

13625228205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13625228205 is a deficient number, since it is larger than the sum of its proper divisors (10366885395).

13625228205 is a wasteful number, since it uses less digits than its factorization.

13625228205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13625228205 in words is "thirteen billion, six hundred twenty-five million, two hundred twenty-eight thousand, two hundred five".

Divisors: 1 3 5 9 15 45 67 201 335 603 1005 2099 2153 3015 6297 6459 10495 10765 18891 19377 31485 32295 94455 96885 140633 144251 421899 432753 703165 721255 1265697 1298259 2109495 2163765 4519147 6328485 6491295 13557441 22595735 40672323 67787205 203361615 302782849 908348547 1513914245 2725045641 4541742735 13625228205