Search a number
-
+
61106422080 = 263511234753101
BaseRepresentation
bin111000111010001110…
…100000000101000000
312211201121111212111210
4320322032200011000
52000121221001310
644023310410120
74262163006024
oct707216400500
9184647455453
1061106422080
1123a07a89380
12ba14500940
1359baa49002
142d597c4384
1518c9956820
hexe3a3a0140

61106422080 has 896 divisors, whose sum is σ = 232082620416. Its totient is φ = 13471744000.

The previous prime is 61106422079. The next prime is 61106422109. The reversal of 61106422080 is 8022460116.

It is a super-2 number, since 2×611064220802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 605014030 + ... + 605014130.

Almost surely, 261106422080 is an apocalyptic number.

61106422080 is a gapful number since it is divisible by the number (60) 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 61106422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116041310208).

61106422080 is an abundant number, since it is smaller than the sum of its proper divisors (170976198336).

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

61106422080 is a wasteful number, since it uses less digits than its factorization.

61106422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 61106422080 its reverse (8022460116), we get a palindrome (69128882196).

The spelling of 61106422080 in words is "sixty-one billion, one hundred six million, four hundred twenty-two thousand, eighty".