Search a number
-
+
61479080000 = 265413191619
BaseRepresentation
bin111001010000011100…
…000101000001000000
312212200120201212001222
4321100130011001000
52001402121030000
644124302014212
74304336362202
oct712034050100
9185616655058
1061479080000
1124089379828
12bab9277368
135a4a006360
142d930ac772
1518ec518a85
hexe50705040

61479080000 has 280 divisors, whose sum is σ = 165301086720. Its totient is φ = 22544640000.

The previous prime is 61479079993. The next prime is 61479080023. The reversal of 61479080000 is 8097416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99319691 + ... + 99320309.

It is an arithmetic number, because the mean of its divisors is an integer number (590361024).

Almost surely, 261479080000 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 61479080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82650543360).

61479080000 is an abundant number, since it is smaller than the sum of its proper divisors (103822006720).

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

61479080000 is a wasteful number, since it uses less digits than its factorization.

61479080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 61479080000 in words is "sixty-one billion, four hundred seventy-nine million, eighty thousand".