Search a number
-
+
60838139904 = 2113171992927
BaseRepresentation
bin111000101010001111…
…000101100000000000
312211000220200201112220
4320222033011200000
51444044030434104
643540524251040
74252424441163
oct705217054000
9184026621486
1060838139904
112388a5a8a73
12b95a6a0a80
1359772a5069
142d31d09ada
1518b11107d9
hexe2a3c5800

60838139904 has 192 divisors, whose sum is σ = 172658304000. Its totient is φ = 18984075264.

The previous prime is 60838139899. The next prime is 60838139917. The reversal of 60838139904 is 40993183806.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20783689 + ... + 20786615.

It is an arithmetic number, because the mean of its divisors is an integer number (899262000).

Almost surely, 260838139904 is an apocalyptic number.

60838139904 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 60838139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86329152000).

60838139904 is an abundant number, since it is smaller than the sum of its proper divisors (111820164096).

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

60838139904 is a wasteful number, since it uses less digits than its factorization.

60838139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 60838139904 in words is "sixty billion, eight hundred thirty-eight million, one hundred thirty-nine thousand, nine hundred four".