Search a number
-
+
196312698090 = 23351767837691
BaseRepresentation
bin1011011011010100100…
…1100000110011101010
3200202201100222100012000
42312311021200303222
511204022022314330
6230103530231430
720116545254445
oct2666511406352
9622640870160
10196312698090
117628a444753
1232068885576
1315687423222
1497044c865c
15518e8ba560
hex2db5260cea

196312698090 has 256 divisors, whose sum is σ = 569419683840. Its totient is φ = 47944258560.

The previous prime is 196312698083. The next prime is 196312698119. The reversal of 196312698090 is 90896213691.

196312698090 is a `hidden beast` number, since 196 + 31 + 269 + 80 + 90 = 666.

196312698090 is digitally balanced in base 2, 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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25521145 + ... + 25528835.

It is an arithmetic number, because the mean of its divisors is an integer number (2224295640).

Almost surely, 2196312698090 is an apocalyptic number.

196312698090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 196312698090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284709841920).

196312698090 is an abundant number, since it is smaller than the sum of its proper divisors (373106985750).

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

196312698090 is a wasteful number, since it uses less digits than its factorization.

196312698090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 196312698090 in words is "one hundred ninety-six billion, three hundred twelve million, six hundred ninety-eight thousand, ninety".