Search a number
-
+
60806858112 = 273772111331
BaseRepresentation
bin111000101000010111…
…110000010110000000
312210221201211110000000
4320220113300112000
51444013023424422
643533450000000
74251564523500
oct705027602600
9183851743000
1060806858112
1123873982550
12b950116000
135970971820
142d2bac5a00
1518ad4d1cac
hexe285f0580

60806858112 has 1536 divisors, whose sum is σ = 256299724800. Its totient is φ = 14108774400.

The previous prime is 60806858111. The next prime is 60806858159. The reversal of 60806858112 is 21185860806.

60806858112 is a `hidden beast` number, since 6 + 0 + 8 + 0 + 68 + 581 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60806858111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1961511537 + ... + 1961511567.

It is an arithmetic number, because the mean of its divisors is an integer number (166861800).

Almost surely, 260806858112 is an apocalyptic number.

60806858112 is a gapful number since it is divisible by the number (62) 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 60806858112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128149862400).

60806858112 is an abundant number, since it is smaller than the sum of its proper divisors (195492866688).

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

60806858112 is a wasteful number, since it uses less digits than its factorization.

60806858112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 60806858112 in words is "sixty billion, eight hundred six million, eight hundred fifty-eight thousand, one hundred twelve".