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4668010871364 = 223429241392
BaseRepresentation
bin100001111101101101100…
…1000010011101001000100
3121112020221200222222210000
41003323123020103221010
51102440041240340424
613532242105201300
7661152442505001
oct103733310235104
917466850888700
104668010871364
11153a768495475
12634837490230
1327b264a61599
14121d0bd708a8
158165b9c23c9
hex43edb213a44

4668010871364 has 135 divisors (see below), whose sum is σ = 12641463591757. Its totient is φ = 1501985352672.

The previous prime is 4668010871347. The next prime is 4668010871479. The reversal of 4668010871364 is 4631780108664.

The square root of 4668010871364 is 2160558.

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

4668010871364 is a `hidden beast` number, since 466 + 8 + 0 + 108 + 7 + 13 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2447791669764 + 2220219201600 = 1564542^2 + 1490040^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4668010871364.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1127809207 + ... + 1127813345.

Almost surely, 24668010871364 is an apocalyptic number.

4668010871364 is the 2160558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4668010871364

4668010871364 is an abundant number, since it is smaller than the sum of its proper divisors (7973452720393).

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

4668010871364 is an frugal number, since it uses more digits than its factorization.

4668010871364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8352 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4668010871364 in words is "four trillion, six hundred sixty-eight billion, ten million, eight hundred seventy-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 841 1044 1566 1682 2349 2523 3132 3364 4139 4698 5046 7569 8278 9396 10092 12417 15138 16556 22707 24834 30276 37251 45414 49668 68121 74502 90828 111753 120031 136242 149004 223506 240062 272484 335259 360093 447012 480124 670518 720186 1080279 1341036 1440372 2160558 3240837 3480899 4321116 6481674 6961798 9722511 10442697 12963348 13923596 17131321 19445022 20885394 31328091 34262642 38890044 41770788 51393963 62656182 68525284 93984273 102787926 125312364 154181889 187968546 205575852 281952819 308363778 375937092 462545667 496808309 563905638 616727556 925091334 993616618 1127811276 1387637001 1490424927 1850182668 1987233236 2775274002 2980849854 4471274781 5550548004 5961699708 8942549562 13413824343 14407440961 17885099124 26827648686 28814881922 40241473029 43222322883 53655297372 57629763844 80482946058 86444645766 129666968649 160965892116 172889291532 259333937298 389000905947 518667874596 778001811894 1167002717841 1556003623788 2334005435682 4668010871364