Search a number
-
+
192490197120 = 27335133723159
BaseRepresentation
bin1011001101000101001…
…1110101000010000000
3200101211222021011122000
42303101103311002000
511123204442301440
6224232340544000
716623041451654
oct2632123650200
9611758234560
10192490197120
11746a8775141
12313806b2000
13151c850b230
14946097aa64
155019007730
hex2cd14f5080

192490197120 has 512 divisors, whose sum is σ = 754052544000. Its totient is φ = 46099611648.

The previous prime is 192490197113. The next prime is 192490197121. The reversal of 192490197120 is 21791094291.

It is a happy number.

192490197120 is a `hidden beast` number, since 1 + 92 + 490 + 1 + 9 + 71 + 2 + 0 = 666.

192490197120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (192490197121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8300101 + ... + 8323259.

It is an arithmetic number, because the mean of its divisors is an integer number (1472758875).

Almost surely, 2192490197120 is an apocalyptic number.

192490197120 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 192490197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377026272000).

192490197120 is an abundant number, since it is smaller than the sum of its proper divisors (561562346880).

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

192490197120 is a wasteful number, since it uses less digits than its factorization.

192490197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23237 (or 23219 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 192490197120 in words is "one hundred ninety-two billion, four hundred ninety million, one hundred ninety-seven thousand, one hundred twenty".