Search a number
-
+
201836381820 = 223522914689693
BaseRepresentation
bin1011101111111001100…
…0101100011001111100
3201021222022202112202220
42323332120230121330
511301330103204240
6232420010045340
720403456636603
oct2737630543174
9637868675686
10201836381820
1178664415027
123314a719850
1316057909c38
149aa9d48a3a
1553b47b75d0
hex2efe62c67c

201836381820 has 48 divisors (see below), whose sum is σ = 567609776160. Its totient is φ = 53587996416.

The previous prime is 201836381633. The next prime is 201836381827. The reversal of 201836381820 is 28183638102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201836381827) by changing a digit.

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, 7331107 + ... + 7358586.

It is an arithmetic number, because the mean of its divisors is an integer number (11825203670).

Almost surely, 2201836381820 is an apocalyptic number.

201836381820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201836381820 is an abundant number, since it is smaller than the sum of its proper divisors (365773394340).

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

201836381820 is a wasteful number, since it uses less digits than its factorization.

201836381820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14689934 (or 14689932 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 201836381820 in words is "two hundred one billion, eight hundred thirty-six million, three hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 229 458 687 916 1145 1374 2290 2748 3435 4580 6870 13740 14689693 29379386 44069079 58758772 73448465 88138158 146896930 176276316 220345395 293793860 440690790 881381580 3363939697 6727879394 10091819091 13455758788 16819698485 20183638182 33639396970 40367276364 50459095455 67278793940 100918190910 201836381820