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57364924848 = 243721121771167
BaseRepresentation
bin110101011011001101…
…110100100110110000
312111001212020010012020
4311123031310212300
51414440410043343
642204133231440
74100361546600
oct653315644660
9174055203166
1057364924848
1122368006100
12b14b492580
13554285621a
142ac2920c00
15175b244b83
hexd5b3749b0

57364924848 has 720 divisors, whose sum is σ = 204673900032. Its totient is φ = 13743206400.

The previous prime is 57364924847. The next prime is 57364924867. The reversal of 57364924848 is 84842946375.

It is a junction number, because it is equal to n+sod(n) for n = 57364924791 and 57364924800.

It is not an unprimeable number, because it can be changed into a prime (57364924847) 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 143 ways as a sum of consecutive naturals, for example, 343502461 + ... + 343502627.

Almost surely, 257364924848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57364924848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102336950016).

57364924848 is an abundant number, since it is smaller than the sum of its proper divisors (147308975184).

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

57364924848 is a wasteful number, since it uses less digits than its factorization.

57364924848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 278 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 60.

The spelling of 57364924848 in words is "fifty-seven billion, three hundred sixty-four million, nine hundred twenty-four thousand, eight hundred forty-eight".