Search a number
-
+
427275041064 = 2331926331711239
BaseRepresentation
bin1100011011110111001…
…00111011100100101000
31111211212112101000102220
412031323210323210220
524000024402303224
6524142030554040
742604162632114
oct6157344734450
91454775330386
10427275041064
1115522a692453
126a985668920
13313a42bb3b1
141697475c744
15b1ab1ac279
hex637b93b928

427275041064 has 128 divisors (see below), whose sum is σ = 1132344576000. Its totient is φ = 133979975424.

The previous prime is 427275041033. The next prime is 427275041069. The reversal of 427275041064 is 460140572724.

It is not an unprimeable number, because it can be changed into a prime (427275041069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38011557 + ... + 38022795.

It is an arithmetic number, because the mean of its divisors is an integer number (8846442000).

Almost surely, 2427275041064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427275041064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566172288000).

427275041064 is an abundant number, since it is smaller than the sum of its proper divisors (705069534936).

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

427275041064 is a wasteful number, since it uses less digits than its factorization.

427275041064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11847 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 427275041064 in words is "four hundred twenty-seven billion, two hundred seventy-five million, forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 263 317 456 526 634 789 951 1052 1268 1578 1902 2104 2536 3156 3804 4997 6023 6312 7608 9994 11239 12046 14991 18069 19988 22478 24092 29982 33717 36138 39976 44956 48184 59964 67434 72276 83371 89912 119928 134868 144552 166742 213541 250113 269736 333484 427082 500226 640623 666968 854164 1000452 1281246 1584049 1708328 2000904 2562492 2955857 3168098 3562763 4752147 5124984 5911714 6336196 7125526 8867571 9504294 10688289 11823428 12672392 14251052 17735142 19008588 21376578 23646856 28502104 35470284 38017176 42753156 56161283 67692497 70940568 85506312 112322566 135384994 168483849 203077491 224645132 270769988 336967698 406154982 449290264 541539976 673935396 812309964 937006669 1347870792 1624619928 1874013338 2811020007 3748026676 5622040014 7496053352 11244080028 17803126711 22488160056 35606253422 53409380133 71212506844 106818760266 142425013688 213637520532 427275041064