Search a number
-
+
61619389440 = 21035721931139
BaseRepresentation
bin111001011000110011…
…010100010000000000
312220001100202022102220
4321120303110100000
52002144030430230
644150233211040
74310662111500
oct713063242000
9186040668386
1061619389440
11241505a2344
12bb38260a80
135a700c14ab
142da7993a00
1519099d1d10
hexe58cd4400

61619389440 has 1056 divisors, whose sum is σ = 250906521600. Its totient is φ = 12819824640.

The previous prime is 61619389423. The next prime is 61619389441. The reversal of 61619389440 is 4498391616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61619389441) 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 95 ways as a sum of consecutive naturals, for example, 443304891 + ... + 443305029.

Almost surely, 261619389440 is an apocalyptic number.

61619389440 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 61619389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125453260800).

61619389440 is an abundant number, since it is smaller than the sum of its proper divisors (189287132160).

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

61619389440 is a wasteful number, since it uses less digits than its factorization.

61619389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 61619389440 in words is "sixty-one billion, six hundred nineteen million, three hundred eighty-nine thousand, four hundred forty".