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12855024400 = 245256692
BaseRepresentation
bin10111111100011100…
…00001101100010000
31020011212222220022211
423332032001230100
5202311341240100
65523331441504
7633362622151
oct137616015420
936155886284
1012855024400
1154a7365109
1225a9156294
13129b341a1a
1489d3cb928
155038661ba
hex2fe381b10

12855024400 has 45 divisors (see below), whose sum is σ = 30889644991. Its totient is φ = 5141102720.

The previous prime is 12855024373. The next prime is 12855024409. The reversal of 12855024400 is 442055821.

The square root of 12855024400 is 113380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2085566224 + 10769458176 = 45668^2 + 103776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12855024409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2264766 + ... + 2270434.

Almost surely, 212855024400 is an apocalyptic number.

12855024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12855024400 is the 113380-th square number.

It is an amenable number.

12855024400 is an abundant number, since it is smaller than the sum of its proper divisors (18034620591).

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

12855024400 is an frugal number, since it uses more digits than its factorization.

12855024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11356 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 12855024400 in words is "twelve billion, eight hundred fifty-five million, twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5669 11338 22676 28345 45352 56690 90704 113380 141725 226760 283450 453520 566900 1133800 2267600 32137561 64275122 128550244 160687805 257100488 321375610 514200976 642751220 803439025 1285502440 1606878050 2571004880 3213756100 6427512200 12855024400