Search a number
-
+
61829775360 = 2153551553
BaseRepresentation
bin111001100101010101…
…111000000000000000
312220121000122000200000
4321211111320000000
52003111410302420
644223150400000
74316125263513
oct714525700000
9186530560600
1061829775360
1124249329401
12bb96800000
135aa4873bc2
142dc78bad7a
15191d1dd690
hexe65578000

61829775360 has 384 divisors, whose sum is σ = 222421595760. Its totient is φ = 16477323264.

The previous prime is 61829775349. The next prime is 61829775367. The reversal of 61829775360 is 6357792816.

61829775360 is a `hidden beast` number, since 6 + 18 + 2 + 97 + 7 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×618297753602 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 61829775297 and 61829775306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61829775367) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39812344 + ... + 39813896.

Almost surely, 261829775360 is an apocalyptic number.

61829775360 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 61829775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111210797880).

61829775360 is an abundant number, since it is smaller than the sum of its proper divisors (160591820400).

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

61829775360 is an frugal number, since it uses more digits than its factorization.

61829775360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 61829775360 in words is "sixty-one billion, eight hundred twenty-nine million, seven hundred seventy-five thousand, three hundred sixty".