Search a number
-
+
201858401820 = 22353739019589
BaseRepresentation
bin1011101111111110110…
…0101100011000011100
3201022000212012021112110
42323333230230120130
511301401222324240
6232422114034020
720404145051055
oct2737754543034
9638025167473
10201858401820
1178675894a79
1233155b78910
131605c34991a
149aacc3b72c
1553b66b6c80
hex2effb2c61c

201858401820 has 48 divisors (see below), whose sum is σ = 566718878880. Its totient is φ = 53684587776.

The previous prime is 201858401813. The next prime is 201858401831. The reversal of 201858401820 is 28104858102.

201858401820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4487415 + ... + 4532174.

It is an arithmetic number, because the mean of its divisors is an integer number (11806643310).

Almost surely, 2201858401820 is an apocalyptic number.

201858401820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201858401820 is an abundant number, since it is smaller than the sum of its proper divisors (364860477060).

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

201858401820 is a wasteful number, since it uses less digits than its factorization.

201858401820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9019974 (or 9019972 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The spelling of 201858401820 in words is "two hundred one billion, eight hundred fifty-eight million, four hundred one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 373 746 1119 1492 1865 2238 3730 4476 5595 7460 11190 22380 9019589 18039178 27058767 36078356 45097945 54117534 90195890 108235068 135293835 180391780 270587670 541175340 3364306697 6728613394 10092920091 13457226788 16821533485 20185840182 33643066970 40371680364 50464600455 67286133940 100929200910 201858401820