Search a number
-
+
60679628160 = 2735193153657
BaseRepresentation
bin111000100000110010…
…011010010110000000
312210121212102111022120
4320200302122112000
51443232441100120
643513103004240
74245461220624
oct704062322600
9183555374276
1060679628160
1123809082828
12b915599680
1359504b5b28
142d18c47184
1518a224e140
hexe20c9a580

60679628160 has 256 divisors, whose sum is σ = 210167654400. Its totient is φ = 14834810880.

The previous prime is 60679628137. The next prime is 60679628197. The reversal of 60679628160 is 6182697606.

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 31 ways as a sum of consecutive naturals, for example, 1104052 + ... + 1157708.

It is an arithmetic number, because the mean of its divisors is an integer number (820967400).

Almost surely, 260679628160 is an apocalyptic number.

60679628160 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 60679628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105083827200).

60679628160 is an abundant number, since it is smaller than the sum of its proper divisors (149488026240).

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

60679628160 is a wasteful number, since it uses less digits than its factorization.

60679628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53729 (or 53717 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 60679628160 in words is "sixty billion, six hundred seventy-nine million, six hundred twenty-eight thousand, one hundred sixty".