Search a number
-
+
13807425226068 = 2234237383313977
BaseRepresentation
bin1100100011101100101010…
…1011010000010101010100
31210212222101012111211120000
43020323022223100111110
53302210101324213233
645211013225211300
72623360603651005
oct310731253202524
953788335454500
1013807425226068
114443772643761
12166bb7a930b30
1379205b072386
1435a3d65971ac
1518e26978ad13
hexc8ecaad0554

13807425226068 has 480 divisors, whose sum is σ = 38803791350016. Its totient is φ = 4271665102848.

The previous prime is 13807425226061. The next prime is 13807425226069. The reversal of 13807425226068 is 86062252470831.

13807425226068 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 7 + 4 + 2 + 5 + 22 + 606 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13807425226061) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14132471596 + ... + 14132472572.

Almost surely, 213807425226068 is an apocalyptic number.

13807425226068 is a gapful number since it is divisible by the number (18) 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 13807425226068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19401895675008).

13807425226068 is an abundant number, since it is smaller than the sum of its proper divisors (24996366123948).

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

13807425226068 is a wasteful number, since it uses less digits than its factorization.

13807425226068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

Adding to 13807425226068 its reverse (86062252470831), we get a palindrome (99869677696899).

The spelling of 13807425226068 in words is "thirteen trillion, eight hundred seven billion, four hundred twenty-five million, two hundred twenty-six thousand, sixty-eight".