Search a number
-
+
61104625344 = 263375985621
BaseRepresentation
bin111000111010000111…
…101001011011000000
312211201111010120212000
4320322013221123000
52000120241002334
644023204104000
74262141513520
oct707207513300
9184644116760
1061104625344
1123a06a71474
12ba13995000
1359ba56a259
142d59477680
1518c96ee299
hexe3a1e96c0

61104625344 has 224 divisors, whose sum is σ = 208780684800. Its totient is φ = 17162357760.

The previous prime is 61104625339. The next prime is 61104625349. The reversal of 61104625344 is 44352640116.

61104625344 is a `hidden beast` number, since 6 + 110 + 4 + 6 + 2 + 534 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (61104625339) and next prime (61104625349).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 61104625299 and 61104625308.

It is not an unprimeable number, because it can be changed into a prime (61104625349) 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 31 ways as a sum of consecutive naturals, for example, 670854 + ... + 756474.

Almost surely, 261104625344 is an apocalyptic number.

61104625344 is a gapful number since it is divisible by the number (64) 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 61104625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104390342400).

61104625344 is an abundant number, since it is smaller than the sum of its proper divisors (147676059456).

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

61104625344 is a wasteful number, since it uses less digits than its factorization.

61104625344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85708 (or 85692 counting only the distinct ones).

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

The spelling of 61104625344 in words is "sixty-one billion, one hundred four million, six hundred twenty-five thousand, three hundred forty-four".