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57205714349152 = 2519379248254211
BaseRepresentation
bin11010000000111001111100…
…10010000110110001100000
321111112210221120221221101201
431000130332102012301200
524444224300333133102
6321355535315210544
715022655633666365
oct1500347622066140
9244483846857351
1057205714349152
1117255897444736
1264baa25ba6a54
1325bc6251c0a55
14101aab281446c
156930ba2e3987
hex34073e486c60

57205714349152 has 48 divisors (see below), whose sum is σ = 118864116705600. Its totient is φ = 27025946317440.

The previous prime is 57205714349117. The next prime is 57205714349167. The reversal of 57205714349152 is 25194341750275.

It is a junction number, because it is equal to n+sod(n) for n = 57205714349093 and 57205714349102.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 123896674 + ... + 124357537.

It is an arithmetic number, because the mean of its divisors is an integer number (2476335764700).

Almost surely, 257205714349152 is an apocalyptic number.

It is an amenable number.

57205714349152 is an abundant number, since it is smaller than the sum of its proper divisors (61658402356448).

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

57205714349152 is a wasteful number, since it uses less digits than its factorization.

57205714349152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248254619 (or 248254611 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 55.

The spelling of 57205714349152 in words is "fifty-seven trillion, two hundred five billion, seven hundred fourteen million, three hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 379 608 758 1516 3032 6064 7201 12128 14402 28804 57608 115216 230432 248254211 496508422 993016844 1986033688 3972067376 4716830009 7944134752 9433660018 18867320036 37734640072 75469280144 94088345969 150938560288 188176691938 376353383876 752706767752 1505413535504 1787678573411 3010827071008 3575357146822 7150714293644 14301428587288 28602857174576 57205714349152