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4668168976 = 24192292312
BaseRepresentation
bin1000101100011111…
…01001101100010000
3110001022222112222021
410112033221230100
534030022401401
62051115021224
7223452532042
oct42617515420
913038875867
104668168976
111a86072499
12aa343a814
13595197583
14323da3a92
151c4c5b2a1
hex1163e9b10

4668168976 has 135 divisors (see below), whose sum is σ = 10215369333. Its totient is φ = 2066117760.

The previous prime is 4668168971. The next prime is 4668168977. The reversal of 4668168976 is 6798618664.

The square root of 4668168976 is 68324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2447874576 + 2220294400 = 49476^2 + 47120^2 .

Its product of digits (20901888) is a multiple of the sum of its prime divisors (81).

It is not an unprimeable number, because it can be changed into a prime (4668168971) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150586081 + ... + 150586111.

Almost surely, 24668168976 is an apocalyptic number.

4668168976 is the 68324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4668168976

4668168976 is an abundant number, since it is smaller than the sum of its proper divisors (5547200357).

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

4668168976 is a wasteful number, since it uses less digits than its factorization.

4668168976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 81 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 61.

The cubic root of 4668168976 is about 1671.2786144223.

The spelling of 4668168976 in words is "four billion, six hundred sixty-eight million, one hundred sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 19 29 31 38 58 62 76 116 124 152 232 248 304 361 464 496 551 589 722 841 899 961 1102 1178 1444 1682 1798 1922 2204 2356 2888 3364 3596 3844 4408 4712 5776 6728 7192 7688 8816 9424 10469 11191 13456 14384 15376 15979 17081 18259 20938 22382 26071 27869 31958 34162 36518 41876 44764 52142 55738 63916 68324 73036 83752 89528 104284 111476 127832 136648 146072 167504 179056 208568 222952 255664 273296 292144 303601 324539 346921 417136 445904 495349 529511 607202 649078 693842 808201 990698 1059022 1214404 1298156 1387684 1616402 1981396 2118044 2428808 2596312 2775368 3232804 3962792 4236088 4857616 5192624 5550736 6465608 7925584 8472176 9411631 10060709 12931216 15355819 18823262 20121418 30711638 37646524 40242836 61423276 75293048 80485672 122846552 150586096 160971344 245693104 291760561 583521122 1167042244 2334084488 4668168976