Search a number
-
+
290462628820 = 2257132192311097
BaseRepresentation
bin1000011101000001110…
…10111111101111010100
31000202201211200101001111
410032200322333233110
514224331413110240
6341234154104404
726661635415430
oct4164072775724
91022654611044
10290462628820
11102203644161
124836341b104
132150cc40400
14100b66079c0
1578502361ea
hex43a0ebfbd4

290462628820 has 432 divisors, whose sum is σ = 823128542208. Its totient is φ = 84202260480.

The previous prime is 290462628817. The next prime is 290462628871. The reversal of 290462628820 is 28826264092.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

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, 264778512 + ... + 264779608.

It is an arithmetic number, because the mean of its divisors is an integer number (1905390144).

Almost surely, 2290462628820 is an apocalyptic number.

290462628820 is a gapful number since it is divisible by the number (20) 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 290462628820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411564271104).

290462628820 is an abundant number, since it is smaller than the sum of its proper divisors (532665913388).

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

290462628820 is a wasteful number, since it uses less digits than its factorization.

290462628820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 290462628820 in words is "two hundred ninety billion, four hundred sixty-two million, six hundred twenty-eight thousand, eight hundred twenty".