Search a number
-
+
160628091120 = 243357374147149
BaseRepresentation
bin1001010110011000101…
…1100010100011110000
3120100121110002111001000
42111212023202203300
510112431242403440
6201442545242000
714414341150440
oct2254613424360
9510543074030
10160628091120
1162138408332
122716a033300
13121bb41c683
147abb0d0120
1542a1ba8730
hex25662e28f0

160628091120 has 1280 divisors, whose sum is σ = 683956224000. Its totient is φ = 33880965120.

The previous prime is 160628091109. The next prime is 160628091133. The reversal of 160628091120 is 21190826061.

160628091120 is a `hidden beast` number, since 1 + 6 + 0 + 628 + 0 + 9 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1078040806 + ... + 1078040954.

It is an arithmetic number, because the mean of its divisors is an integer number (534340800).

Almost surely, 2160628091120 is an apocalyptic number.

160628091120 is a gapful number since it is divisible by the number (10) 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 160628091120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341978112000).

160628091120 is an abundant number, since it is smaller than the sum of its proper divisors (523328132880).

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

160628091120 is a wasteful number, since it uses less digits than its factorization.

160628091120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 160628091120 in words is "one hundred sixty billion, six hundred twenty-eight million, ninety-one thousand, one hundred twenty".