Search a number
-
+
60472710144 = 21032711261127
BaseRepresentation
bin111000010100011101…
…000101010000000000
312210002110001222011100
4320110131011100000
51442322003211034
643440352014400
74240366361250
oct702435052000
9183073058140
1060472710144
11237122a5200
12b878231400
135919678a32
142cd9583960
15188deca099
hexe14745400

60472710144 has 792 divisors, whose sum is σ = 224700729344. Its totient is φ = 15328051200.

The previous prime is 60472710107. The next prime is 60472710149. The reversal of 60472710144 is 44101727406.

It is a happy number.

60472710144 is a `hidden beast` number, since 604 + 7 + 2 + 7 + 1 + 0 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 60472710099 and 60472710108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60472710149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 476163009 + ... + 476163135.

Almost surely, 260472710144 is an apocalyptic number.

60472710144 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 60472710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112350364672).

60472710144 is an abundant number, since it is smaller than the sum of its proper divisors (164228019200).

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

60472710144 is a wasteful number, since it uses less digits than its factorization.

60472710144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 60472710144 in words is "sixty billion, four hundred seventy-two million, seven hundred ten thousand, one hundred forty-four".