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5540960128 = 271136710723
BaseRepresentation
bin1010010100100010…
…00101011110000000
3112022011021221100111
411022101011132000
542321441211003
62313454001104
7254211245464
oct51221053600
915264257314
105540960128
1123938003a0
1210a77a6194
136a3c55542
143a7c7a4a4
152266b0e6d
hex14a445780

5540960128 has 64 divisors (see below), whose sum is σ = 12076081920. Its totient is φ = 2511521280.

The previous prime is 5540960111. The next prime is 5540960141. The reversal of 5540960128 is 8210690455.

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, 511375 + ... + 522097.

It is an arithmetic number, because the mean of its divisors is an integer number (188688780).

Almost surely, 25540960128 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 5540960128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038040960).

5540960128 is an abundant number, since it is smaller than the sum of its proper divisors (6535121792).

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

5540960128 is a wasteful number, since it uses less digits than its factorization.

5540960128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11115 (or 11103 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 5540960128 is about 74437.6257547217. The cubic root of 5540960128 is about 1769.5452594555.

The spelling of 5540960128 in words is "five billion, five hundred forty million, nine hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 367 704 734 1408 1468 2936 4037 5872 8074 10723 11744 16148 21446 23488 32296 42892 46976 64592 85784 117953 129184 171568 235906 258368 343136 471812 516736 686272 943624 1372544 1887248 3774496 3935341 7548992 7870682 15097984 15741364 31482728 43288751 62965456 86577502 125930912 173155004 251861824 346310008 503723648 692620016 1385240032 2770480064 5540960128