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5742528896 = 27135416379
BaseRepresentation
bin1010101100100100…
…00000100110000000
3112211012120200201102
411112102000212000
543230041411041
62345454153532
7262206455516
oct52622004600
915735520642
105742528896
112487564a55
1211431b28a8
1370693b8c0
143c694a4b6
1523922a09b
hex156480980

5742528896 has 64 divisors (see below), whose sum is σ = 12344917200. Its totient is φ = 2645084160.

The previous prime is 5742528833. The next prime is 5742528937. The reversal of 5742528896 is 6988252475.

It is a happy number.

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

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, 897035 + ... + 903413.

Almost surely, 25742528896 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 5742528896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6172458600).

5742528896 is an abundant number, since it is smaller than the sum of its proper divisors (6602388304).

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

5742528896 is a wasteful number, since it uses less digits than its factorization.

5742528896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6947 (or 6935 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 56.

The square root of 5742528896 is about 75779.4754270574. The cubic root of 5742528896 is about 1790.7476767934.

The spelling of 5742528896 in words is "five billion, seven hundred forty-two million, five hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 541 832 1082 1664 2164 4328 6379 7033 8656 12758 14066 17312 25516 28132 34624 51032 56264 69248 82927 102064 112528 165854 204128 225056 331708 408256 450112 663416 816512 900224 1326832 2653664 3451039 5307328 6902078 10614656 13804156 27608312 44863507 55216624 89727014 110433248 179454028 220866496 358908056 441732992 717816112 1435632224 2871264448 5742528896