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5757420416 = 27116761031
BaseRepresentation
bin1010101110010101…
…10100001110000000
3112212020121021001012
411113022310032000
543242344423131
62351145300052
7262450160156
oct52712641600
915766537035
105757420416
112494a061a0
121148194628
13709a53a57
143c89053d6
1523a6bc52b
hex1572b4380

5757420416 has 64 divisors (see below), whose sum is σ = 12699538560. Its totient is φ = 2577907200.

The previous prime is 5757420391. The next prime is 5757420433. The reversal of 5757420416 is 6140247575.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×57574204162 = 66295779693147226112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63821 + ... + 124851.

It is an arithmetic number, because the mean of its divisors is an integer number (198430290).

Almost surely, 25757420416 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 5757420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349769280).

5757420416 is an abundant number, since it is smaller than the sum of its proper divisors (6942118144).

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

5757420416 is a wasteful number, since it uses less digits than its factorization.

5757420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61123 (or 61111 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The square root of 5757420416 is about 75877.6674391089. The cubic root of 5757420416 is about 1792.2942623699.

The spelling of 5757420416 in words is "five billion, seven hundred fifty-seven million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 268 352 536 704 737 1072 1408 1474 2144 2948 4288 5896 8576 11792 23584 47168 61031 94336 122062 244124 488248 671341 976496 1342682 1952992 2685364 3905984 4089077 5370728 7811968 8178154 10741456 16356308 21482912 32712616 42965824 44979847 65425232 85931648 89959694 130850464 179919388 261700928 359838776 523401856 719677552 1439355104 2878710208 5757420416