Search a number
-
+
42176836900 = 225211218672
BaseRepresentation
bin100111010001111011…
…110111010100100100
311000212101011022100101
4213101323313110210
51142334232240100
631213055553444
73022116125032
oct472173672444
9130771138311
1042176836900
11169837a7900
128210b2b884
133c92063b33
142081739552
15116cb7a86a
hex9d1ef7524

42176836900 has 81 divisors (see below), whose sum is σ = 100654382577. Its totient is φ = 15328816800.

The previous prime is 42176836879. The next prime is 42176836903. The reversal of 42176836900 is 963867124.

The square root of 42176836900 is 205370.

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

It can be written as a sum of positive squares in only one way, i.e., 15183661284 + 26993175616 = 123222^2 + 164296^2 .

It is a super-2 number, since 2×421768369002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42176836903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22589767 + ... + 22591633.

Almost surely, 242176836900 is an apocalyptic number.

42176836900 is the 205370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42176836900

42176836900 is an abundant number, since it is smaller than the sum of its proper divisors (58477545677).

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

42176836900 is a wasteful number, since it uses less digits than its factorization.

42176836900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 42176836900 in words is "forty-two billion, one hundred seventy-six million, eight hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1867 2420 3025 3734 6050 7468 9335 12100 18670 20537 37340 41074 46675 82148 93350 102685 186700 205370 225907 410740 451814 513425 903628 1026850 1129535 2053700 2259070 3485689 4518140 5647675 6971378 11295350 13942756 17428445 22590700 34856890 38342579 69713780 76685158 87142225 153370316 174284450 191712895 348568900 383425790 421768369 766851580 843536738 958564475 1687073476 1917128950 2108841845 3834257900 4217683690 8435367380 10544209225 21088418450 42176836900