Search a number
-
+
61693220736 = 2732725512999
BaseRepresentation
bin111001011101001100…
…111101011110000000
312220020111200022221100
4321131030331132000
52002321431030421
644201431454400
74312546503210
oct713514753600
9186214608840
1061693220736
112418923a944
12bb58b27400
135a824a1b54
142db36d2240
151911217c26
hexe5d33d780

61693220736 has 192 divisors, whose sum is σ = 203037120000. Its totient is φ = 17613849600.

The previous prime is 61693220717. The next prime is 61693220747. The reversal of 61693220736 is 63702239616.

61693220736 is a `hidden beast` number, since 616 + 9 + 3 + 2 + 20 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 61693220691 and 61693220700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20569765 + ... + 20572763.

It is an arithmetic number, because the mean of its divisors is an integer number (1057485000).

Almost surely, 261693220736 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 61693220736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101518560000).

61693220736 is an abundant number, since it is smaller than the sum of its proper divisors (141343899264).

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

61693220736 is a wasteful number, since it uses less digits than its factorization.

61693220736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 61693220736 in words is "sixty-one billion, six hundred ninety-three million, two hundred twenty thousand, seven hundred thirty-six".