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4966023168 = 215341871
BaseRepresentation
bin1001001111111111…
…11000000000000000
3110211002110010010000
410213333320000000
540132300220133
62140435040000
7234030333441
oct44777700000
913732403100
104966023168
112119210787
12b67140000
13611ac3762
143517792c8
151e0e94413
hex127ff8000

4966023168 has 160 divisors (see below), whose sum is σ = 14844463920. Its totient is φ = 1654456320.

The previous prime is 4966023143. The next prime is 4966023199. The reversal of 4966023168 is 8613206694.

4966023168 is a `hidden beast` number, since 4 + 9 + 6 + 602 + 31 + 6 + 8 = 666.

It is a super-2 number, since 2×49660231682 = 49322772210225512448, which contains 22 as substring.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2653273 + ... + 2655143.

Almost surely, 24966023168 is an apocalyptic number.

4966023168 is a gapful number since it is divisible by the number (48) 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 4966023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422231960).

4966023168 is an abundant number, since it is smaller than the sum of its proper divisors (9878440752).

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

4966023168 is an frugal number, since it uses more digits than its factorization.

4966023168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4966023168 is about 70470.0160919522. The cubic root of 4966023168 is about 1706.0938355324.

The spelling of 4966023168 in words is "four billion, nine hundred sixty-six million, twenty-three 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 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 1871 2048 2304 2592 3072 3456 3742 4096 4608 5184 5613 6144 6912 7484 8192 9216 10368 11226 12288 13824 14968 16384 16839 18432 20736 22452 24576 27648 29936 32768 33678 36864 41472 44904 49152 50517 55296 59872 67356 73728 82944 89808 98304 101034 110592 119744 134712 147456 151551 165888 179616 202068 221184 239488 269424 294912 303102 331776 359232 404136 442368 478976 538848 606204 663552 718464 808272 884736 957952 1077696 1212408 1327104 1436928 1616544 1915904 2155392 2424816 2654208 2873856 3233088 3831808 4310784 4849632 5747712 6466176 7663616 8621568 9699264 11495424 12932352 15327232 17243136 19398528 22990848 25864704 30654464 34486272 38797056 45981696 51729408 61308928 68972544 77594112 91963392 103458816 137945088 155188224 183926784 206917632 275890176 310376448 413835264 551780352 620752896 827670528 1241505792 1655341056 2483011584 4966023168