Search a number
-
+
26215014036420 = 22325111011307100297
BaseRepresentation
bin1011111010111101010001…
…00110010111001111000100
310102211010112101211211002100
411331132220212113033010
511414001322043131140
6131431002230112100
75343654325500036
oct575365046271704
9112733471754070
1026215014036420
1183977a7aaa450
122b3478b1ab630
1311820b0384901
14668b56167c56
15306da542b530
hex17d7a89973c4

26215014036420 has 288 divisors, whose sum is σ = 87674657406336. Its totient is φ = 6287355648000.

The previous prime is 26215014036361. The next prime is 26215014036457. The reversal of 26215014036420 is 2463041051262.

26215014036420 is a `hidden beast` number, since 2 + 6 + 2 + 1 + 5 + 0 + 1 + 4 + 0 + 3 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261323712 + ... + 261424008.

It is an arithmetic number, because the mean of its divisors is an integer number (304425893772).

Almost surely, 226215014036420 is an apocalyptic number.

26215014036420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26215014036420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43837328703168).

26215014036420 is an abundant number, since it is smaller than the sum of its proper divisors (61459643369916).

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

26215014036420 is a wasteful number, since it uses less digits than its factorization.

26215014036420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101731 (or 101726 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 26215014036420 its reverse (2463041051262), we get a palindrome (28678055087682).

The spelling of 26215014036420 in words is "twenty-six trillion, two hundred fifteen billion, fourteen million, thirty-six thousand, four hundred twenty".