Search a number
-
+
42532610064 = 24375910312081
BaseRepresentation
bin100111100111001001…
…000010000000010000
311001210011121110101020
4213213021002000100
51144101322010224
631312245235440
73033666135420
oct474711020020
9131704543336
1042532610064
111704660550a
1282b0102b80
13401a98b9b9
1420b6aaa480
15118e004c79
hex9e7242010

42532610064 has 160 divisors (see below), whose sum is σ = 127886100480. Its totient is φ = 11928883200.

The previous prime is 42532610059. The next prime is 42532610077. The reversal of 42532610064 is 46001623524.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20437504 + ... + 20439584.

It is an arithmetic number, because the mean of its divisors is an integer number (799288128).

Almost surely, 242532610064 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 42532610064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63943050240).

42532610064 is an abundant number, since it is smaller than the sum of its proper divisors (85353490416).

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

42532610064 is a wasteful number, since it uses less digits than its factorization.

42532610064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 42532610064 in words is "forty-two billion, five hundred thirty-two million, six hundred ten thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1031 1239 1416 1652 2062 2081 2478 2832 3093 3304 4124 4162 4956 6186 6243 6608 7217 8248 8324 9912 12372 12486 14434 14567 16496 16648 19824 21651 24744 24972 28868 29134 33296 43302 43701 49488 49944 57736 58268 60829 86604 87402 99888 115472 116536 121658 122779 173208 174804 182487 233072 243316 245558 346416 349608 364974 368337 425803 486632 491116 699216 729948 736674 851606 859453 973264 982232 1277409 1459896 1473348 1703212 1718906 1964464 2145511 2554818 2578359 2919792 2946696 3406424 3437812 4291022 5109636 5156718 5893392 6436533 6812848 6875624 8582044 10219272 10313436 12873066 13751248 15018577 17164088 20438544 20626872 25746132 30037154 34328176 41253744 45055731 51492264 60074308 90111462 102984528 120148616 126585149 180222924 240297232 253170298 360445848 379755447 506340596 720891696 759510894 886096043 1012681192 1519021788 1772192086 2025362384 2658288129 3038043576 3544384172 5316576258 6076087152 7088768344 10633152516 14177536688 21266305032 42532610064