Search a number
-
+
60199808400 = 243252171994943
BaseRepresentation
bin111000000100001100…
…000010110110010000
312202101102120010100100
4320010030002312100
51441242122332100
643353322452400
74230543633324
oct700414026620
9182342503310
1060199808400
112359224a076
12b800964100
1358a4c78204
142cb1225984
151875070400
hexe04302d90

60199808400 has 360 divisors, whose sum is σ = 222355411200. Its totient is φ = 15030005760.

The previous prime is 60199808387. The next prime is 60199808443. The reversal of 60199808400 is 480899106.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12176329 + ... + 12181271.

It is an arithmetic number, because the mean of its divisors is an integer number (617653920).

Almost surely, 260199808400 is an apocalyptic number.

60199808400 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 60199808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111177705600).

60199808400 is an abundant number, since it is smaller than the sum of its proper divisors (162155602800).

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

60199808400 is a wasteful number, since it uses less digits than its factorization.

60199808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 60199808400 in words is "sixty billion, one hundred ninety-nine million, eight hundred eight thousand, four hundred".