Search a number
-
+
61063296580440 = 2332571121922389271
BaseRepresentation
bin11011110001001011010000…
…00110011111101101011000
322000012121001010111101102100
431320211220012133231120
531000430112411033230
6333512031410203400
715601451261643030
oct1570455006375530
9260177033441370
1061063296580440
1118502887003800
126a22586583560
13280c323559c0b
14111169d39c8c0
1570d5e3196660
hex37896819fb58

61063296580440 has 3456 divisors, whose sum is σ = 278660312985600. Its totient is φ = 11326882406400.

The previous prime is 61063296580439. The next prime is 61063296580453. The reversal of 61063296580440 is 4408569236016.

61063296580440 is a `hidden beast` number, since 6 + 1 + 0 + 6 + 32 + 96 + 5 + 80 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 225325817505 + ... + 225325817775.

It is an arithmetic number, because the mean of its divisors is an integer number (80630877600).

Almost surely, 261063296580440 is an apocalyptic number.

61063296580440 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 61063296580440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139330156492800).

61063296580440 is an abundant number, since it is smaller than the sum of its proper divisors (217597016405160).

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

61063296580440 is a wasteful number, since it uses less digits than its factorization.

61063296580440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 61063296580440 in words is "sixty-one trillion, sixty-three billion, two hundred ninety-six million, five hundred eighty thousand, four hundred forty".