Search a number
-
+
1801981981836 = 2232178233577661
BaseRepresentation
bin11010001110001110011…
…111101111010010001100
320101021020020000021102100
4122032032133233102030
5214010424341404321
63455452531355100
7244121536056531
oct32161637572214
96337206007370
101801981981836
1163524193aa03
122512a0152a90
13100c06a5121a
1463305ad6d88
1531d18a5c326
hex1a38e7ef48c

1801981981836 has 72 divisors (see below), whose sum is σ = 4828813333344. Its totient is φ = 564640611840.

The previous prime is 1801981981781. The next prime is 1801981981871. The reversal of 1801981981836 is 6381891891081.

1801981981836 is a `hidden beast` number, since 1 + 80 + 198 + 198 + 183 + 6 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1285155 + ... + 2292506.

It is an arithmetic number, because the mean of its divisors is an integer number (67066851852).

Almost surely, 21801981981836 is an apocalyptic number.

It is an amenable number.

1801981981836 is an abundant number, since it is smaller than the sum of its proper divisors (3026831351508).

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

1801981981836 is a wasteful number, since it uses less digits than its factorization.

1801981981836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578511 (or 3578506 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 63.

The spelling of 1801981981836 in words is "one trillion, eight hundred one billion, nine hundred eighty-one million, nine hundred eighty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 823 1646 2469 3292 4938 7407 9876 13991 14814 27982 29628 41973 55964 83946 125919 167892 251838 503676 3577661 7155322 10732983 14310644 21465966 32198949 42931932 60820237 64397898 121640474 128795796 182460711 243280948 364921422 547382133 729842844 1094764266 2189528532 2944415003 5888830006 8833245009 11777660012 17666490018 26499735027 35332980036 50055055051 52999470054 100110110102 105998940108 150165165153 200220220204 300330330306 450495495459 600660660612 900990990918 1801981981836