Search a number
-
+
60478341120 = 21433537739
BaseRepresentation
bin111000010100110010…
…100100000000000000
312210002211200001102000
4320110302210000000
51442324423403440
643441112424000
74240465263141
oct702462440000
9183084601360
1060478341120
11237154a08aa
12b87a0a8000
13591a89aa82
142cda20bac8
15188e73d730
hexe14ca4000

60478341120 has 480 divisors, whose sum is σ = 221137929600. Its totient is φ = 15670444032.

The previous prime is 60478341113. The next prime is 60478341137. The reversal of 60478341120 is 2114387406.

60478341120 is a `hidden beast` number, since 60 + 478 + 3 + 4 + 1 + 120 = 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81837711 + ... + 81838449.

It is an arithmetic number, because the mean of its divisors is an integer number (460704020).

Almost surely, 260478341120 is an apocalyptic number.

60478341120 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 60478341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110568964800).

60478341120 is an abundant number, since it is smaller than the sum of its proper divisors (160659588480).

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

60478341120 is an equidigital number, since it uses as much as digits as its factorization.

60478341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 60478341120 in words is "sixty billion, four hundred seventy-eight million, three hundred forty-one thousand, one hundred twenty".