Search a number
-
+
61553799216 = 243272132411259
BaseRepresentation
bin111001010100111001…
…000111000000110000
312212212210022222120100
4321110321013000300
52002030233033331
644135531312400
74306234442400
oct712471070060
9185783288510
1061553799216
1124117573448
12bb1a2ab700
135a5c637c00
142d9cd9c800
151903d77ae6
hexe54e47030

61553799216 has 540 divisors, whose sum is σ = 222459433560. Its totient is φ = 15825438720.

The previous prime is 61553799211. The next prime is 61553799269. The reversal of 61553799216 is 61299735516.

61553799216 is a `hidden beast` number, since 6 + 1 + 5 + 537 + 9 + 92 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (61553799211) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 48890395 + ... + 48891653.

It is an arithmetic number, because the mean of its divisors is an integer number (411961914).

Almost surely, 261553799216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61553799216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111229716780).

61553799216 is an abundant number, since it is smaller than the sum of its proper divisors (160905634344).

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

61553799216 is a wasteful number, since it uses less digits than its factorization.

61553799216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1325 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The spelling of 61553799216 in words is "sixty-one billion, five hundred fifty-three million, seven hundred ninety-nine thousand, two hundred sixteen".