Search a number
-
+
60420255168 = 26372132347457
BaseRepresentation
bin111000010001010100…
…111110110111000000
312202221210100222110110
4320101110332313000
51442220041131133
643431235431320
74236161460300
oct702124766700
9182853328413
1060420255168
1123695727a89
12b862755540
13590b8410a0
142cd260b600
1518895b7c63
hexe1153edc0

60420255168 has 672 divisors, whose sum is σ = 213887084544. Its totient is φ = 14885240832.

The previous prime is 60420255163. The next prime is 60420255179. The reversal of 60420255168 is 86155202406.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60420255163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132210396 + ... + 132210852.

It is an arithmetic number, because the mean of its divisors is an integer number (318284352).

Almost surely, 260420255168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60420255168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106943542272).

60420255168 is an abundant number, since it is smaller than the sum of its proper divisors (153466829376).

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

60420255168 is a wasteful number, since it uses less digits than its factorization.

60420255168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 60420255168 in words is "sixty billion, four hundred twenty million, two hundred fifty-five thousand, one hundred sixty-eight".