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66746789316 = 22343124632
BaseRepresentation
bin111110001010011010…
…110010110111000100
320101021200212012210000
4332022122302313010
52043144134224231
650355115201300
74552022230254
oct761232626704
9211250765700
1066746789316
11263419057a9
1210b29446230
1363a946820c
143332939964
151b09c016e6
hexf8a6b2dc4

66746789316 has 135 divisors (see below), whose sum is σ = 180689806143. Its totient is φ = 21484718640.

The previous prime is 66746789297. The next prime is 66746789327. The reversal of 66746789316 is 61398764766.

The square root of 66746789316 is 258354.

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

66746789316 is a `hidden beast` number, since 6 + 67 + 467 + 89 + 31 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 144161301 + ... + 144161763.

Almost surely, 266746789316 is an apocalyptic number.

66746789316 is the 258354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66746789316

66746789316 is an abundant number, since it is smaller than the sum of its proper divisors (113943016827).

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

66746789316 is an equidigital number, since it uses as much as digits as its factorization.

66746789316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 499 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 66746789316 in words is "sixty-six billion, seven hundred forty-six million, seven hundred eighty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 463 558 837 926 961 1116 1389 1674 1852 1922 2511 2778 2883 3348 3844 4167 5022 5556 5766 8334 8649 10044 11532 12501 14353 16668 17298 25002 25947 28706 34596 37503 43059 50004 51894 57412 75006 77841 86118 103788 129177 150012 155682 172236 214369 258354 311364 387531 428738 444943 516708 643107 775062 857476 889886 1162593 1286214 1334829 1550124 1779772 1929321 2325186 2572428 2669658 3858642 4004487 4650372 5339316 5787963 6645439 7717284 8008974 11575926 12013461 13290878 16017948 17363889 19936317 23151852 24026922 26581756 34727778 36040383 39872634 48053844 59808951 69455556 72080766 79745268 119617902 144161532 179426853 206008609 239235804 358853706 412017218 538280559 618025827 717707412 824034436 1076561118 1236051654 1854077481 2153122236 2472103308 3708154962 5562232443 7416309924 11124464886 16686697329 22248929772 33373394658 66746789316