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5485753056 = 253723137619
BaseRepresentation
bin1010001101111100…
…11111001011100000
3112011022102010111010
411012332133023200
542213323044211
62304202420520
7252641063100
oct50676371340
915138363433
105485753056
112365623513
121091201740
13695696034
143a07c9200
152219084a6
hex146f9f2e0

5485753056 has 144 divisors (see below), whose sum is σ = 17291957760. Its totient is φ = 1516757760.

The previous prime is 5485753019. The next prime is 5485753061. The reversal of 5485753056 is 6503575845.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5485752996 and 5485753014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127015 + ... + 164633.

It is an arithmetic number, because the mean of its divisors is an integer number (120083040).

Almost surely, 25485753056 is an apocalyptic number.

5485753056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5485753056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8645978880).

5485753056 is an abundant number, since it is smaller than the sum of its proper divisors (11806204704).

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

5485753056 is a wasteful number, since it uses less digits than its factorization.

5485753056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37677 (or 37662 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 48.

The square root of 5485753056 is about 74065.8697106839. The cubic root of 5485753056 is about 1763.6487080763.

The spelling of 5485753056 in words is "five billion, four hundred eighty-five million, seven hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 168 186 196 217 224 248 294 336 372 392 434 496 588 651 672 744 784 868 992 1176 1302 1488 1519 1568 1736 2352 2604 2976 3038 3472 4557 4704 5208 6076 6944 9114 10416 12152 18228 20832 24304 36456 37619 48608 72912 75238 112857 145824 150476 225714 263333 300952 451428 526666 601904 789999 902856 1053332 1166189 1203808 1579998 1805712 1843331 2106664 2332378 3159996 3498567 3611424 3686662 4213328 4664756 5529993 6319992 6997134 7373324 8163323 8426656 9329512 11059986 12639984 13994268 14746648 16326646 18659024 22119972 24489969 25279968 27988536 29493296 32653292 37318048 44239944 48979938 55977072 57143261 58986592 65306584 88479888 97959876 111954144 114286522 130613168 171429783 176959776 195919752 228573044 261226336 342859566 391839504 457146088 685719132 783679008 914292176 1371438264 1828584352 2742876528 5485753056