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10997386800 = 243529164489
BaseRepresentation
bin10100011110111111…
…01100111000110000
31001101102112010121020
422033133230320300
5140010312334200
65015132055440
7536345150121
oct121737547060
931342463536
1010997386800
114733813524
12216b004580
13106352108a
147647d0048
15445724ea0
hex28f7ece30

10997386800 has 60 divisors (see below), whose sum is σ = 35228299560. Its totient is φ = 2932636160.

The previous prime is 10997386793. The next prime is 10997386801. The reversal of 10997386800 is 868379901.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10997386801) 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 11 ways as a sum of consecutive naturals, for example, 4581045 + ... + 4583444.

It is an arithmetic number, because the mean of its divisors is an integer number (587138326).

Almost surely, 210997386800 is an apocalyptic number.

10997386800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10997386800 is an abundant number, since it is smaller than the sum of its proper divisors (24230912760).

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

10997386800 is a wasteful number, since it uses less digits than its factorization.

10997386800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164510 (or 9164499 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 10997386800 in words is "ten billion, nine hundred ninety-seven million, three hundred eighty-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 9164489 18328978 27493467 36657956 45822445 54986934 73315912 91644890 109973868 137467335 146631824 183289780 219947736 229112225 274934670 366579560 439895472 458224450 549869340 687336675 733159120 916448900 1099738680 1374673350 1832897800 2199477360 2749346700 3665795600 5498693400 10997386800