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13575024424900 = 22523684432
BaseRepresentation
bin1100010110001010111010…
…0000100011011111000100
31210001202111210101220121201
43011202232200203133010
53234403122223044100
644512140301352244
72600522521513561
oct305425640433704
953052453356551
1013575024424900
11436415442a034
121632b20268684
13776172181903
1434d06b27d868
151881b6a5936a
hexc58ae8237c4

13575024424900 has 27 divisors (see below), whose sum is σ = 29457882954381. Its totient is φ = 5429995032240.

The previous prime is 13575024424859. The next prime is 13575024424901. The reversal of 13575024424900 is 942442057531.

The square root of 13575024424900 is 3684430.

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

It can be written as a sum of positive squares in only one way, i.e., 4887008792964 + 8688015631936 = 2210658^2 + 2947544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13575024424901) 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, 36660079 + ... + 37028521.

Almost surely, 213575024424900 is an apocalyptic number.

13575024424900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13575024424900 is the 3684430-th square number.

It is an amenable number.

13575024424900 is an abundant number, since it is smaller than the sum of its proper divisors (15882858529481).

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

13575024424900 is an frugal number, since it uses more digits than its factorization.

13575024424900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736900 (or 368450 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 13575024424900 in words is "thirteen trillion, five hundred seventy-five billion, twenty-four million, four hundred twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 368443 736886 1473772 1842215 3684430 7368860 9211075 18422150 36844300 135750244249 271500488498 543000976996 678751221245 1357502442490 2715004884980 3393756106225 6787512212450 13575024424900