Search a number
-
+
61094726784 = 27327131937829
BaseRepresentation
bin111000111001100001…
…111000110010000000
312211200210111200120200
4320321201320302000
52000110222224114
644022212005200
74261661415660
oct707141706200
9184623450520
1061094726784
1123a01420543
12ba10600800
1359b84b2910
142d5801c1a0
1518c88e6409
hexe39878c80

61094726784 has 768 divisors, whose sum is σ = 234203424000. Its totient is φ = 14834368512.

The previous prime is 61094726783. The next prime is 61094726789. The reversal of 61094726784 is 48762749016.

61094726784 is a `hidden beast` number, since 6 + 109 + 472 + 67 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61094726784.

It is not an unprimeable number, because it can be changed into a prime (61094726783) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73696482 + ... + 73697310.

It is an arithmetic number, because the mean of its divisors is an integer number (304952375).

Almost surely, 261094726784 is an apocalyptic number.

61094726784 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 61094726784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117101712000).

61094726784 is an abundant number, since it is smaller than the sum of its proper divisors (173108697216).

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

61094726784 is a wasteful number, since it uses less digits than its factorization.

61094726784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 61094726784 in words is "sixty-one billion, ninety-four million, seven hundred twenty-six thousand, seven hundred eighty-four".