Search a number
-
+
5542172160 = 29357103091
BaseRepresentation
bin1010010100101011…
…01101011000000000
3112022020120111221120
411022111231120000
542322244002120
62313535552240
7254224454220
oct51225553000
915266514846
105542172160
112394458a78
1210a808b680
136a428b115
143a80b4080
15226850140
hex14a56d600

5542172160 has 160 divisors (see below), whose sum is σ = 20248918272. Its totient is φ = 1266769920.

The previous prime is 5542172147. The next prime is 5542172201. The reversal of 5542172160 is 612712455.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2215 + ... + 105305.

Almost surely, 25542172160 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 5542172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124459136).

5542172160 is an abundant number, since it is smaller than the sum of its proper divisors (14706746112).

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

5542172160 is a wasteful number, since it uses less digits than its factorization.

5542172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103124 (or 103108 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5542172160 is about 74445.7665686908. The cubic root of 5542172160 is about 1769.6742737460.

The spelling of 5542172160 in words is "five billion, five hundred forty-two million, one hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 103091 206182 309273 412364 515455 618546 721637 824728 1030910 1237092 1443274 1546365 1649456 2061820 2164911 2474184 2886548 3092730 3298912 3608185 4123640 4329822 4948368 5773096 6185460 6597824 7216370 8247280 8659644 9896736 10824555 11546192 12370920 13195648 14432740 16494560 17319288 19793472 21649110 23092384 24741840 26391296 28865480 32989120 34638576 39586944 43298220 46184768 49483680 52782592 57730960 65978240 69277152 79173888 86596440 92369536 98967360 115461920 131956480 138554304 158347776 173192880 184739072 197934720 230923840 263912960 277108608 346385760 369478144 395869440 461847680 554217216 692771520 791738880 923695360 1108434432 1385543040 1847390720 2771086080 5542172160