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16255368400 = 245241991181
BaseRepresentation
bin11110010001110010…
…10011110011010000
31112221212100021101111
433020321103303100
5231242333242100
611245000543104
71113552231415
oct171071236320
945855307344
1016255368400
116991805967
123197a81a94
1316c09582ab
14b02c4810c
1565213a6ba
hex3c8e53cd0

16255368400 has 60 divisors (see below), whose sum is σ = 40006087884. Its totient is φ = 6343552000.

The previous prime is 16255368377. The next prime is 16255368407. The reversal of 16255368400 is 486355261.

16255368400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 69422224 + 16185946176 = 8332^2 + 127224^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16255368407) 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 11 ways as a sum of consecutive naturals, for example, 479191 + ... + 511990.

Almost surely, 216255368400 is an apocalyptic number.

16255368400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16255368400 is an abundant number, since it is smaller than the sum of its proper divisors (23750719484).

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

16255368400 is a wasteful number, since it uses less digits than its factorization.

16255368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991240 (or 991229 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 16255368400 in words is "sixteen billion, two hundred fifty-five million, three hundred sixty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 16400 991181 1982362 3964724 4955905 7929448 9911810 15858896 19823620 24779525 39647240 40638421 49559050 79294480 81276842 99118100 162553684 198236200 203192105 325107368 396472400 406384210 650214736 812768420 1015960525 1625536840 2031921050 3251073680 4063842100 8127684200 16255368400