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5538381056 = 281310116477
BaseRepresentation
bin1010010100001110…
…01111110100000000
3112021222102220112022
411022013033310000
542320311143211
62313322421012
7254150314355
oct51207176400
915258386468
105538381056
1123922a972a
1210a6961768
136a3561670
143a77a862c
15226351bdb
hex14a1cfd00

5538381056 has 72 divisors (see below), whose sum is σ = 12024128424. Its totient is φ = 2530713600.

The previous prime is 5538381049. The next prime is 5538381059. The reversal of 5538381056 is 6501838355.

It can be written as a sum of positive squares in 4 ways, for example, as 862009600 + 4676371456 = 29360^2 + 68384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5538380998 and 5538381016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5538381059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327890 + ... + 344366.

Almost surely, 25538381056 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 5538381056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012064212).

5538381056 is an abundant number, since it is smaller than the sum of its proper divisors (6485747368).

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

5538381056 is a wasteful number, since it uses less digits than its factorization.

5538381056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16607 (or 16593 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The square root of 5538381056 is about 74420.3000262697. The cubic root of 5538381056 is about 1769.2706684828.

The spelling of 5538381056 in words is "five billion, five hundred thirty-eight million, three hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 128 202 208 256 404 416 808 832 1313 1616 1664 2626 3232 3328 5252 6464 10504 12928 16477 21008 25856 32954 42016 65908 84032 131816 168064 214201 263632 336128 428402 527264 856804 1054528 1664177 1713608 2109056 3328354 3427216 4218112 6656708 6854432 13313416 13708864 21634301 26626832 27417728 43268602 53253664 54835456 86537204 106507328 173074408 213014656 346148816 426029312 692297632 1384595264 2769190528 5538381056