Search a number
-
+
16190850385920 = 2113574317397
BaseRepresentation
bin1110101110011011100111…
…1000101100100000000000
32010022211102012102221021110
43223212321320230200000
54110232330144322140
654233550214123320
73260515236360000
oct353467170544000
963284365387243
1016190850385920
115182556a48141
121995a8b050540
13905a38061b52
143dd8d9ba0000
151d1263e6d380
hexeb9b9e2c800

16190850385920 has 1920 divisors, whose sum is σ = 63883107025920. Its totient is φ = 3495910440960.

The previous prime is 16190850385861. The next prime is 16190850385933. The reversal of 16190850385920 is 2958305809161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×161908503859203 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 166915983312 + ... + 166915983408.

It is an arithmetic number, because the mean of its divisors is an integer number (33272451576).

Almost surely, 216190850385920 is an apocalyptic number.

16190850385920 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 16190850385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31941553512960).

16190850385920 is an abundant number, since it is smaller than the sum of its proper divisors (47692256640000).

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

16190850385920 is an frugal number, since it uses more digits than its factorization.

16190850385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The spelling of 16190850385920 in words is "sixteen trillion, one hundred ninety billion, eight hundred fifty million, three hundred eighty-five thousand, nine hundred twenty".