Search a number
-
+
60808849920 = 2932571322397
BaseRepresentation
bin111000101000011111…
…010110101000000000
312210221212120122020200
4320220133112220000
51444014031144140
643534000405200
74251620460510
oct705037265000
9183855518220
1060808849920
1123875012a75
12b950916800
1359711bb300
142d2c083840
1518ad777030
hexe287d6a00

60808849920 has 1440 divisors, whose sum is σ = 274756914432. Its totient is φ = 12145655808.

The previous prime is 60808849903. The next prime is 60808849931. The reversal of 60808849920 is 2994880806.

60808849920 is a `hidden beast` number, since 608 + 0 + 8 + 8 + 4 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 626895312 + ... + 626895408.

Almost surely, 260808849920 is an apocalyptic number.

60808849920 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 60808849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137378457216).

60808849920 is an abundant number, since it is smaller than the sum of its proper divisors (213948064512).

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

60808849920 is a wasteful number, since it uses less digits than its factorization.

60808849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 60808849920 in words is "sixty billion, eight hundred eight million, eight hundred forty-nine thousand, nine hundred twenty".