Search a number
-
+
66506104200 = 23352313575597
BaseRepresentation
bin111101111100000100…
…101001110110001000
320100122220222010212110
4331330010221312020
52042201030313300
650315200342320
74543040362344
oct757404516610
9210586863773
1066506104200
1126228a64488
1210a809149a0
13636b6375a3
14330c9a6624
151ae3a0c550
hexf7c129d88

66506104200 has 96 divisors (see below), whose sum is σ = 212819592960. Its totient is φ = 17162860800.

The previous prime is 66506104139. The next prime is 66506104211. The reversal of 66506104200 is 240160566.

66506104200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×665061042002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1769199 + ... + 1806398.

It is an arithmetic number, because the mean of its divisors is an integer number (2216870760).

Almost surely, 266506104200 is an apocalyptic number.

66506104200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66506104200 is an abundant number, since it is smaller than the sum of its proper divisors (146313488760).

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

66506104200 is a wasteful number, since it uses less digits than its factorization.

66506104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575647 (or 3575638 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 66506104200 its reverse (240160566), we get a palindrome (66746264766).

The spelling of 66506104200 in words is "sixty-six billion, five hundred six million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 3575597 7151194 10726791 14302388 17877985 21453582 28604776 35755970 42907164 53633955 71511940 85814328 89389925 107267910 110843507 143023880 178779850 214535820 221687014 268169775 332530521 357559700 429071640 443374028 536339550 554217535 665061042 715119400 886748056 1072679100 1108435070 1330122084 1662652605 2145358200 2216870140 2660244168 2771087675 3325305210 4433740280 5542175350 6650610420 8313263025 11084350700 13301220840 16626526050 22168701400 33253052100 66506104200