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5066717184 = 2113510181
BaseRepresentation
bin1001011011111111…
…11111100000000000
3111002002220220100000
410231333333200000
540334034422214
62154433200000
7236362246134
oct45577774000
914062826300
105066717184
112170036681
12b94a00000
1362991b109
14360cab3c4
151e9c34809
hex12dfff800

5066717184 has 144 divisors (see below), whose sum is σ = 15177085560. Its totient is φ = 1688739840.

The previous prime is 5066717177. The next prime is 5066717209. The reversal of 5066717184 is 4817176605.

5066717184 is a `hidden beast` number, since 506 + 6 + 71 + 71 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×50667171843 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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, 492574 + ... + 502754.

Almost surely, 25066717184 is an apocalyptic number.

5066717184 is a gapful number since it is divisible by the number (54) 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 5066717184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588542780).

5066717184 is an abundant number, since it is smaller than the sum of its proper divisors (10110368376).

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

5066717184 is an equidigital number, since it uses as much as digits as its factorization.

5066717184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5066717184 is about 71180.8765329565. The cubic root of 5066717184 is about 1717.5480187181.

The spelling of 5066717184 in words is "five billion, sixty-six million, seven hundred seventeen thousand, one hundred eighty-four".

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 4608 5184 6144 6912 7776 9216 10181 10368 13824 15552 18432 20362 20736 27648 30543 31104 40724 41472 55296 61086 62208 81448 82944 91629 122172 124416 162896 165888 183258 244344 248832 274887 325792 366516 488688 497664 549774 651584 733032 824661 977376 1099548 1303168 1466064 1649322 1954752 2199096 2473983 2606336 2932128 3298644 3909504 4398192 4947966 5212672 5864256 6597288 7819008 8796384 9895932 10425344 11728512 13194576 15638016 17592768 19791864 20850688 23457024 26389152 31276032 35185536 39583728 46914048 52778304 62552064 70371072 79167456 93828096 105556608 140742144 158334912 187656192 211113216 281484288 316669824 422226432 562968576 633339648 844452864 1266679296 1688905728 2533358592 5066717184