Search a number
-
+
5505159168 = 212355531
BaseRepresentation
bin1010010000010001…
…00001000000000000
3112012122221001200000
411020020201000000
542233310043133
62310134400000
7253265036505
oct51010410000
915178831600
105505159168
112375578623
121097800000
136996cc042
143a31db4ac
1522348d413
hex148221000

5505159168 has 156 divisors (see below), whose sum is σ = 16493790768. Its totient is φ = 1834721280.

The previous prime is 5505159137. The next prime is 5505159239. The reversal of 5505159168 is 8619515055.

5505159168 is a `hidden beast` number, since 5 + 5 + 0 + 51 + 591 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 992563 + ... + 998093.

It is an arithmetic number, because the mean of its divisors is an integer number (105729428).

Almost surely, 25505159168 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 5505159168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246895384).

5505159168 is an abundant number, since it is smaller than the sum of its proper divisors (10988631600).

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

5505159168 is an frugal number, since it uses more digits than its factorization.

5505159168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 45.

The square root of 5505159168 is about 74196.7598214369. The cubic root of 5505159168 is about 1765.7259242732.

The spelling of 5505159168 in words is "five billion, five hundred five million, one hundred fifty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4096 4608 5184 5531 6144 6912 7776 9216 10368 11062 12288 13824 15552 16593 18432 20736 22124 27648 31104 33186 36864 41472 44248 49779 55296 62208 66372 82944 88496 99558 110592 124416 132744 149337 165888 176992 199116 248832 265488 298674 331776 353984 398232 448011 497664 530976 597348 707968 796464 896022 995328 1061952 1194696 1344033 1415936 1592928 1792044 2123904 2389392 2688066 2831872 3185856 3584088 4247808 4778784 5376132 5663744 6371712 7168176 8495616 9557568 10752264 11327488 12743424 14336352 16991232 19115136 21504528 22654976 25486848 28672704 33982464 38230272 43009056 50973696 57345408 67964928 76460544 86018112 101947392 114690816 152921088 172036224 203894784 229381632 305842176 344072448 458763264 611684352 688144896 917526528 1376289792 1835053056 2752579584 5505159168