Search a number
-
+
1009813044204 = 2232411514530829
BaseRepresentation
bin11101011000111011000…
…11000011101111101100
310120112111121101201110200
432230131203003233230
5113021044114403304
62051522434033500
7132646052152236
oct16543543035754
93515447351420
101009813044204
1135a294157288
12143860418890
13742c0318083
1436c37821256
151b402ee4e39
hexeb1d8c3bec

1009813044204 has 72 divisors (see below), whose sum is σ = 2632158503520. Its totient is φ = 326219616000.

The previous prime is 1009813044181. The next prime is 1009813044209. The reversal of 1009813044204 is 4024403189001.

It is a happy number.

1009813044204 is a `hidden beast` number, since 10 + 0 + 98 + 130 + 4 + 420 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1009813044209) 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 23 ways as a sum of consecutive naturals, for example, 2042539 + ... + 2488290.

Almost surely, 21009813044204 is an apocalyptic number.

It is an amenable number.

1009813044204 is an abundant number, since it is smaller than the sum of its proper divisors (1622345459316).

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

1009813044204 is a wasteful number, since it uses less digits than its factorization.

1009813044204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531031 (or 4531026 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1009813044204 in words is "one trillion, nine billion, eight hundred thirteen million, forty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 151 164 246 302 369 453 492 604 738 906 1359 1476 1812 2718 5436 6191 12382 18573 24764 37146 55719 74292 111438 222876 4530829 9061658 13592487 18123316 27184974 40777461 54369948 81554922 163109844 185763989 371527978 557291967 684155179 743055956 1114583934 1368310358 1671875901 2052465537 2229167868 2736620716 3343751802 4104931074 6157396611 6687503604 8209862148 12314793222 24629586444 28050362339 56100724678 84151087017 112201449356 168302174034 252453261051 336604348068 504906522102 1009813044204