Search a number
-
+
42526370370 = 235111273373011
BaseRepresentation
bin100111100110110001…
…001110101001000010
311001202201212110010110
4213212301032221002
51144043222322440
631311503412150
73033562120041
oct474661165102
9131681773113
1042526370370
1117043033540
1282a9bb4056
1340195b5883
1420b5d24558
15118d6c1080
hex9e6c4ea42

42526370370 has 128 divisors (see below), whose sum is σ = 112588849152. Its totient is φ = 10194508800.

The previous prime is 42526370339. The next prime is 42526370371. The reversal of 42526370370 is 7307362524.

It is not an unprimeable number, because it can be changed into a prime (42526370371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14122165 + ... + 14125175.

It is an arithmetic number, because the mean of its divisors is an integer number (879600384).

Almost surely, 242526370370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42526370370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56294424576).

42526370370 is an abundant number, since it is smaller than the sum of its proper divisors (70062478782).

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

42526370370 is a wasteful number, since it uses less digits than its factorization.

42526370370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496.

The product of its (nonzero) digits is 211680, while the sum is 39.

The spelling of 42526370370 in words is "forty-two billion, five hundred twenty-six million, three hundred seventy thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 127 165 254 330 337 381 635 674 762 1011 1270 1397 1685 1905 2022 2794 3011 3370 3707 3810 4191 5055 6022 6985 7414 8382 9033 10110 11121 13970 15055 18066 18535 20955 22242 30110 33121 37070 41910 42799 45165 55605 66242 85598 90330 99363 111210 128397 165605 198726 213995 256794 331210 382397 427990 470789 496815 641985 764794 941578 993630 1014707 1147191 1283970 1412367 1911985 2029414 2294382 2353945 2824734 3044121 3823970 4206367 4707890 5073535 5735955 6088242 7061835 8412734 10147070 11161777 11471910 12619101 14123670 15220605 21031835 22323554 25238202 30441210 33485331 42063670 55808885 63095505 66970662 111617770 126191010 128867789 167426655 257735578 334853310 386603367 644338945 773206734 1288677890 1417545679 1933016835 2835091358 3866033670 4252637037 7087728395 8505274074 14175456790 21263185185 42526370370