Search a number
-
+
60454106519040 = 2932513270774561
BaseRepresentation
bin11011011111011100100011…
…00010110101011000000000
321221001100121121220211200200
431233232101202311120000
530410440002232102130
6332324122205045200
715506444054602053
oct1557562142653000
9257040547824620
1060454106519040
1118298496105043
1269444b1b56800
132796a4a964a70
1410cddcc78aa9a
156ec83b607760
hex36fb918b5600

60454106519040 has 480 divisors, whose sum is σ = 225561243843936. Its totient is φ = 14875314094080.

The previous prime is 60454106519039. The next prime is 60454106519143. The reversal of 60454106519040 is 4091560145406.

60454106519040 is a `hidden beast` number, since 6 + 0 + 4 + 5 + 410 + 6 + 5 + 190 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810763360 + ... + 810837920.

Almost surely, 260454106519040 is an apocalyptic number.

60454106519040 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 60454106519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112780621921968).

60454106519040 is an abundant number, since it is smaller than the sum of its proper divisors (165107137324896).

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

60454106519040 is a wasteful number, since it uses less digits than its factorization.

60454106519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77310 (or 77291 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 60454106519040 in words is "sixty trillion, four hundred fifty-four billion, one hundred six million, five hundred nineteen thousand, forty".