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53225779360000 = 2854132232612
BaseRepresentation
bin11000001101000100101111…
…01010111111000100000000
320222110100001002010101211111
430012202113222333010000
523434022344004010000
6305111330244053104
714132302300524202
oct1406422752770400
9228410032111744
1053225779360000
1115a60a20945765
125b77619994194
1323912283b2900
14d201da280772
156247d0b46cba
hex306897abf100

53225779360000 has 1215 divisors, whose sum is σ = 152786329042347. Its totient is φ = 18489968640000.

The previous prime is 53225779359959. The next prime is 53225779360007. The reversal of 53225779360000 is 6397752235.

It is a happy number.

The square root of 53225779360000 is 7295600.

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

It can be written as a sum of positive squares in 22 ways, for example, as 4420018483456 + 48805760876544 = 2102384^2 + 6986112^2 .

It is not an unprimeable number, because it can be changed into a prime (53225779360007) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 872553759970 + ... + 872553760030.

Almost surely, 253225779360000 is an apocalyptic number.

53225779360000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53225779360000 is the 7295600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53225779360000

53225779360000 is an abundant number, since it is smaller than the sum of its proper divisors (99560549682347).

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

53225779360000 is an frugal number, since it uses more digits than its factorization.

53225779360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 49.

The spelling of 53225779360000 in words is "fifty-three trillion, two hundred twenty-five billion, seven hundred seventy-nine million, three hundred sixty thousand".